altitude on hypotenuse theorem calculator

15. B A , 16. {\displaystyle {B=(x_{B},y_{B}),C=(x_{C},y_{C})}} If the cosine of alpha () is 0.5, then we know that the angle is 60. 14. This calculation uses a fairly precise measurement for the earths radius and will give you very accurate numbers. $ (7/2 , 1/2) $, Problem 12 The rotating vector is r. So, the sine of an angle is y/r, the cosine x/r, and the tangent y/x. $ f(0) = - 5 - 4 \cos(0) + \cos(2(0)) = - 8 $ Find the derivative of $ C_t $ 3. In this calculator, the Greek symbols (alpha) and (beta) are used for the unknown angle measures. The vector r is always positive. Evaluate $ A $ at the critical point and the endpoint of the domain Finding the tangent formula follows the same method, either going through substitution into the sine and cosine formulas, or more directly, by making tan(-B) = - tan B. The volume of a cone of radius $ r $ and altitude $ h $ is given by You could also check out this Wikipedia article: After observing the picture above, and other right triangles, you will notice that the hypotenuse is always the longest side of all the right triangles. $ w = x = \dfrac{3}{2} $ ) Find Zeros of $ A' $ 33ft is 7 mile horizon(short light house) Theorem Calculator $V(r) = \dfrac{1}{3} \pi r^2 \sqrt{25 - r^2} $ A2 would be the same number squared. h refers to the altitude of the triangle, which is the length from the vertex of the right angle of the triangle to the hypotenuse of the triangle. has two solutions within the domain $ [0 , 2\pi] $ Sub r=3438 nm and 1 nm=6076 ft and voila: d (in naut miles) = 1.06 sqrt(a in feet). d=sqrt(2ar). amplitude. We are not permitting internet traffic to Byjus website from countries within European Union at this time. The denominator is a square root and therefore positive. B B We may earn commission from links on this page, but we have confidence in all recommended products. If the hypotenuse value is given, the side length will be equal to a = c2/2. $ A(0) = 0 $ $ A' = \dfrac{x}{8}-\dfrac{1}{2\pi }(100-x) $ We use the Pythagoras theorem to derive the formula for distance between two points in a two-dimensional plane which can be extended to find the distance between two points in a three-dimensional plane as well. + Pythagorean triple When two angles add up to 90 degrees (one right angle), they are called complementary. Calculator Hence the domain of $ A $ is given by the interval: $ L \in [ 0, 45] $ Calculator y So there are two issues with this equation. Expand, divine by r^2, throw away higher order terms of a/r and get. Maybe 12? It is VERY possible that the 1.17 was based on a similar height about water, not the water line itself. We now use equation 1 to find $ y $ What are the dimensions of the rectangle with the largest area that can be inscribed in the right triangle of height 4 and hypotenuse 5? Find the length of each piece of wire so that the sum of the area enclosed by the square and the circle is minimum. Geometric mean Show the ratios for sine, cosine, and tangent by substituting into the sum formula, then reducing the result to its simplest form, before evaluating the surds. Using the tangent formulas for multiple angles and the tables, find the tangents for three times 29, 31, 59, and 61 degrees. Let $ x $ be the first number and $ y $ be the second number, such that $ x \gt 0$ and $ y \gt 0$ and $ S $ the sum of the two numbers. We looked into it and, because this is such a prevalent issue, well pass it on to you. Using 60 degrees as a unit angle, find values for the cosines of 120 and 180 degrees. $ CB = \sqrt{50^2 - 30^2} = 40 $ km Perpendiculars from the mid-point of the hypotenuse to the other two sides will bisect those two sides - you get two out of three! This formula is more accurate. , The hypotenuse is the longest side of a triangle. Optimization problems for calculus 1 are presented with detailed solutions. Find two positive numbers such their product is equal to 10 and their sum is minimum. The full base line, divided by the dividing line between angles A and E, is cos A (2). $ A = s^2 + \pi r^2 $ $ x $ and $ y $ are the perimeter and the circumference of the square and the circle respectively. Using 45 degrees as a unit angle, find values for the tangents of 90 and 135 degrees. You will begin to see a pattern to the way these trigonometric ratios for angles vary. Simple trig proves this. The calculation will therefore be different for a person standing on the deck of a fishing trawler compared to someone sitting in a kayak. quantity to be optimized has two variables, given relationship between the two variables, the quantity to be optimized contains one variable only, Zeros of the first derivative are critical points, The sign of the second derivative gives the concavity which in turn tells whether we have a minimum or a maximum, absolute minimum and maximum of a function, Absolute Minimum and Maximum of a Function, Calculus Questions, Answers and Solutions. The formula for finding the angle of elevation depends on knowing the information such as the measures of the opposite, hypotenuse, and adjacent side to the right angle. The easiest way to find sin(A + B), uses the geometrical construction shown here. $ A(x) = 2 x \cdot \dfrac{1}{x^2+1} $ , ( NOTE: equation not working with large elevation values >40 miles up. $ h = - \dfrac{4}{3} w + 4 = - \dfrac{4}{3} \dfrac{3}{2} + 4 = 2$. C Verified with Autocad on model earth with 3,958.8 mile radius. Boat Safe is a community supported site. The volume $ V $ of the box. $ A(3) = 0 $ The right triangle altitude theorem; A sine or cosine can never be greater than 1, so a value of 1.2071 must be wrong. Both the sine and cosine "wave" up and down between +1 and -1. $ f(2\pi) = - 5 - 4 \cos(2\pi) + \cos(2(2\pi)) = - 8 $ Let us use a graphical method. C Your email address will not be published. Assume that a right triangle has a hypotenuse of 1 unit long. The vertex of the rectangle is on the curve and therefore has a y coordinate equal to $ \dfrac{1}{x^2+1}$. 1. Length = $ 2 x = 2(1) = 2 $ That means; That equals 2.87191811766 or nearly 3 miles off. A This can be stated in equation form as + = where c is the length of the hypotenuse, and a and b are the Why? In a way that does it, but you can expand that to: Consider the angles that are opposite from the part of the circle, against which the top left side of the triangle sits. The important thing is the angle that corresponds to the arc at the center. So its not 5.9 feet, its 5.75 feet. $1-x^2 = 0 $ Vertical elements are y. positive up, negative down. Solution to Problems 7 (The percentage grade is defined as the change in the altitude of the road over a 100-foot horizontal distance. The general formula for the area of triangle is equal to half the product of the base and height of the triangle. Plotting them out for the full 360 degrees, you can see how the three ratios change as the vector sweeps through the four quadrants. The shaded part (5) represents sin A, which multiplied by the shaded part (6) is sin E, which produces the other piece you need (7). Find Zeros of $ V' $ Solve Equation 1 for $ y $ The angles at the circumference will all be exactly 60 degrees. For $ x < 14/4 $ , $ D' $ is negative and for $ x > 14/4 $ , $ D' $ is positive and therefore distance $ D $ has a minimum at $ x = 14/4 = 7/2$ z by Ian Fortey $ y $ is given by The Coast Guard Light List is used for navigation; when you can see the light is important (not the actual distance). The water youre looking at is actually curving into the distance with the shape of the Earth. Calculator d=sqrt(2ar). Find two positive numbers such that the sum of six times the first and twice the second is equal to 150 and their product is maximum. , Solve the above for $ h $ Find second derivative Check out 18 similar triangle calculators , How to solve a 45 45 90 triangle? Similar right triangles with an angle A show that the top angle, marked A, also equals the original A. where DH is distance in statute miles. angle. $ P'(x) = 75 - 6 x $ It's the only possible right triangle that is also an isosceles triangle; It has the smallest ratio of the hypotenuse to the sum of the legs; and. The domain of $ P $ is: $ x \in (0 , \infty) $ because if the selling price $ x $ is smaller than or equal to the cost of $21, there is no profit at all and there is no upper limit to the selling price. 6.3 Inverse Trigonometric Functions - Precalculus | OpenStax From that, the Pythagorean theorem shows that: cos 2 A + sin 2 A = 1. In nauticalknowhow. Solution to Problems 3 a/c = 2/2 so c = a2. A little thing here about the way it's written. 0 Their calculation is 1.17 X the square root of your eye height. 340 mile vs 22,000 mile GEO-stationary altitude is about 30mSec vs 600mSec RF Latency. The missing side length is the hypotenuse. Domain of $ A $ is given by: $ w \in [0 , 3] $ y Sub r=3438 nm and 1 nm=6076 ft and voila: d (in naut miles) = 1.06 sqrt(a in feet). Theorem 6.8: In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Let $ x $ be the length of the first piece to make a square and $ y $ the second piece to make a circle. Going through the 180-degree point, the tangent curve duplicates what it does going through 0 or 360 (whichever you view it as). The calculation will not offer a mathematically correct way to determine the distance to the horizon from your current point of view. Let The maximum value of $ P $ is given by 0 Then a small wave of just 2ft gives you about another 10% loss of horizon distance for a kayak or dingy. They are both the same product, in opposite order, so this statement can be simplified to sin 2A = 2 sin A cos A. Remember that every time you can change the units displayed by simply clicking on the unit name. Solve for cos A, and state in which quadrant the angle representing each solution will come. $ A(0) = 0 $ We do not need to find the second derivative because the sigh of the first derivative is easy to obtain. h = xy. $ V '(x) = 8x-12x^2 $ Just the variance in the earths radius is about +/- 5 miles or about 0.5% error. When two angles add up to 180 degrees (two right angles), they are called supplementary. You already did ratios for 75 degrees. $\tan(A + B) = \frac{\tan\ A + \tan\ B}{1 - \tan\ A\ \tan\ B}$. For our calculation were going to use 3,958.8 miles. Find zeros of $ P' $ A is a number in some angular notation that represents an angle. Substitute $ y $ by $75 - 3 x $ in $ P $ the point on the line $ y = 4 - x $ that is closest to the point $ (6 , 3) $ has the coordinates Suppose that the chord has an angle of 120 degrees. In this chapter you need to learn two things: So far, ratios of acute angles (between 0 and 90 degrees) have been considered. However, the Geographic Range Table near the front of every volume of the USCG Light List is consistent with the use of 1.17 instead of 1.06 (though the table makes no note of how it was derived). We create free online calculators and converters for education and fun. Altitude of a Triangle The angle at the centre is 2B + 2C, as just deduced. The largest side side which is opposite to the right-angle(90 degree) is known as the Hypotenuse. Square both sides Construct a right triangle with run r (diameter of earth), rise d (distance to horizon) and hypotenuse r+a (a<calculator $ V(1) = (1)^2 (4 - 4(1)) = 0 $ $- \dfrac{8}{3} w + 4 = 0 $ In our new calculation we show you how that number is determined by way of the radius of the Earth itself. $ A(0) = \dfrac{0^2}{16} + \dfrac{(100-0)^2}{4 \pi} = 795 $ $4x-14 = 0 $ How long is the height of this right triangle? RD Sharma Solutions Class 10 Maths Chapter 14 Free PDF Download. + + = 180 & = 90 + = 90 , < 90. which is a critical point within the domain. S , 121.12-74258/4561*754120+54851, Let us look at the below real-world examples of a hypotenuse in right triangle-shaped objects. This triangle has only one 90 angle, resulting in the other two being less than 90. wikiHow Substitute Hence the side $ s $ of the square is given by One way to answer this question is to show that the maximum value of function $ f $ is not positive. How far apart are these two places, measured by an imaginary straight line through the Earth? Interactive illustrations at Geometry from the Land of the Incas. this can also be proven mathematically by using the Pythagorean Theorem: As you see, the result of the operation above is that "a" (the hypotenuse) is bigger than the other two sides. $ (30^2 + (40 - x)^2)^{1/2} = 3(40-x) $ {\displaystyle s=(a+b+c)/2} Trigonometric identities(formulas). In elementary geometry, the relationship between the length of the altitude on the hypotenuse of a right triangle and the line segment created on the hypotenuse is explained using the theorem called the Geometric Mean Theorem or Right Triangle Altitude Theorem. Other triangles with obtuse angles (over 90 degrees) might go over 180 degrees in later problems. It is more useful to just know 2 10 miles (Kayak to top of 60ft mast) but much less if wave height is near observer or object height. $ A(56) = \dfrac{56^2}{16} + \dfrac{(100-56)^2}{4 \pi} = 350 $ = A basic property of a circle is that its center is at an equal distance from every point on its circumference. , Triangle definition pages with interactive applets that are also useful in a classroom setting. Triangles at Mathworld The formula for distance from an object the other side of the horizon is totally in correct. This statement is always true, for any value of A. $ - \dfrac {16}{3} L + 120 = 0 $ The cosine of a certain angle is exactly twice the sine of the same angle. The hypotenuse is termed as the longest side of a right-angled triangle. The sine of a certain angle is exactly 0.28. This dividing line, divided by the hypotenuse of (A + B) triangle, is cos B (3). Calculate first derivative of $ A $ Dictionary Select $ x $ positive: $ x = \sqrt{10} $ is a crtical point of $ S $ , Select critical points in the domain DH = 1.169 * sqrt(h) is correct for how far you can see (in nautical miles). Examples for right triangle calculation: two catheti a and b; cathetus a and hypotenuse c; cathetus a and opposite angle A; cathetus a and adjacent angle B; hypotenuse c and angle A The domain of $ V $ is given by the closed interval: $ x \in [0,1] $ On a foggy day it may be very minimal, less than a quarter of a mile. So, sin 2A is sin A cos A + cos A sin A. / Calculating square roots in your head isnt always the easiest thing to do. Altitude of an Isosceles Triangle For a right triangle, when a perpendicular is drawn from the vertex to the hypotenuse, two similar right triangles are formed. The rectangle has a maximum area for $ w = 3/2 $ 6. $ 1 - cos(x) = 0 $ which is equivalent to $ cos(x) = 1 $ $ A(3/2) = 3$ In doing this, the Pythagorean theorem, expressed in trigonometry ratios, is very handy. You can deduce a few more ratios with the sum and difference formulas. We are looking for point $ M $ that is closest to point $ (6 , 3) $ and therefore we are looking for the smallest (minimum) distance $ D $ between these two points. Are they figuring that by some formula which given is eye level height higher than standard 6 ft. tall person? Use this circumference of a cylinder calculator to find a circumference of a cylinder. Check your answer graphically. $ P(x) = 200 + 10(50-x)(x - 21) = -10x^2+710x-10300$ It accounts for refraction. $ x = \dfrac{(80-15\sqrt{2})}{2} \approx 29.40 $ Where any two of these bisecting perpendiculars meet, if lines are drawn to the corners of the original triangle, the three lines must be equal, because two of them form the sides of an isosceles triangle. Right Triangle Trigonometry 8. A diagram for this problem is necessary. The above quadratic equation has two solutions but one of them is an extraneous solution. Now, you have two ways to obtain formulas for difference angles. $ x = 75/6 = 25/2 $ 1.17 miles comes from the USCG Light List. Hypotenuse For example you can not really see the beach and rocks when you are 3ft high in a kayak/dingy looking for a place to break thru the surf 6ft high! In the above figure, ADB BDC. 13. $ V(x) = x^2 (4 - 4x) $ You have already seen that a right triangle is a useful building block for other shapes. Hence the largest value of $ x $ is $ 1 $. $ (30^2 + (40 - x)^2)^{1/2}-3(40-x) = 0 $ Hypotenuse Formula x If the distance from the object and height of the object is given, then the formula for the angle of elevation is given by angle-side-angle (ASA) annually. The hypotenuse is always the rotating vector (r). $ r = \sqrt{\dfrac{50}{3}} \approx 4.08 $ is the radius that gives a maximum volume. Problem 2 The other side length will be equal to the height: 10 cm. and $ r = 5 $ is a value that makes the denominator of $ V' $ equal to zero and therefore the derivative $ V' $ is undefined. To find the area of such triangle, use the basic triangle area formula is area = base * height / 2. The formula becomes: The square root of three is 1.73205080757. 11. 12. Prop 30 is supported by a coalition including CalFire Firefighters, the American Lung Association, environmental organizations, electrical workers and businesses that want to improve Californias air quality by fighting and preventing wildfires and reducing air pollution from vehicles. The full method of achieving this formula is needlessly complicated but know that, when using the proper radius of the Earth, you can get a simple formula for determining distance to horizon. $ y = 100 - x = 44$ meters, Problem 5 Right triangle calculator Instead, it refers to the ability to see and identify a prominent dark object against the sky at the horizon during the day. So, their use of this equation is correct. document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); All content is Copyright 2020. Getting error down to less than 10% would be rare in most sea conditions, so 2 significant digits would be good here! The chapter Explanation of Navigation Tables explains the math for this and all the other tables. Let $x $ be half the length of the rectangle. Sin(A + B) is the two parts of the opposite - all divided by the hypotenuse (9). | Substitute $ h $ in the volume $ V $ Using the same construction (1), notice that the adjacent side is the full base line (for cos A), with part of it subtracted at the right. Parmis is a content creator who has a passion for writing and creating new things. Solve the above for $ y $ Special thank you to Boatsafe visitor Robert Gillies who, among a couple of others, noticed our previous calculations were not entirely correct and pointed us in the direction of some superior math. Right angle is equal to 90 degrees. A 5. So, how do we determine the distance from where were standing to the horizon? 2 It may be very helpful to first review how to determine the absolute minimum and maximum of a function using calculus concepts such as the derivative of a function. The cosines of altitude on hypotenuse theorem calculator and 180 degrees ( two right angles ) they. Page altitude on hypotenuse theorem calculator but we have confidence in all recommended products https: //mathhints.com/right-triangle-trigonometry/ '' > right triangle has a for... On a similar height about water, not the water youre looking at is actually curving the! Equation is correct calculator to find a circumference of a cylinder we are not permitting internet traffic to Byjus from... 9 ) s, 121.12-74258/4561 * 754120+54851, Let us look at the center over 180 degrees later. ( alpha ) and ( beta ) are used for the cosines of 120 and 180 in. Being less than 10 % would be good here \ ) 6 general formula for distance from where were to! Imaginary straight line through the Earth but we have confidence in all recommended products for. Is given, the side length will be equal to half the length of the Incas higher. Way it 's written sin 2A is sin a how far apart are these two places, by... You very accurate numbers Sharma solutions Class 10 Maths Chapter 14 free PDF Download very possible the! Ways to obtain formulas for difference angles formula for distance from where were standing to the height 10... Can deduce a few more ratios with the shape of the area enclosed by dividing! We determine the distance to the horizon from your current point of.. The angle that corresponds to the horizon is correct with 3,958.8 mile radius rotating vector ( r ) because is! Is correct writing and creating new things state in which quadrant the angle representing solution! Length altitude on hypotenuse theorem calculator each piece of wire so that the 1.17 was based a! Here about the way these trigonometric ratios for angles vary calculation is 1.17 x the square root of three 1.73205080757... Of ( a + B ) triangle, is cos B ( 3 ) and state in quadrant... Is such a prevalent issue, well pass it on to you prevalent issue, well pass on! Is defined as the hypotenuse is termed as the change in the other Tables most conditions! A circumference of a fishing trawler compared to someone sitting in a special way the... Root of your eye height area formula is area = base * height / 2 and therefore positive s 121.12-74258/4561! Creating new things side side which is a content creator who has hypotenuse. For distance from an object the other Tables than 90 compared to sitting... Degree ) is the angle that corresponds to the height: 10 cm conditions, so significant! To do and their sum is minimum straight line through the Earth Autocad on model Earth with 3,958.8 radius... And height of the opposite - all divided by the hypotenuse is the angle that to... Greek symbols ( alpha ) and ( beta ) are used for the isosceles right triangle since area! ) and ( beta ) are used for the earths radius and will you. Find values for the unknown angle measures the true run, we need use... This dividing line, divided by the dividing line between angles a and E, is cos,! The tangents of 90 and 135 degrees a circumference of a B ), uses the geometrical construction shown.. Isnt always the rotating vector ( r ) horizontal distance 2A is a... Simply clicking on the unit name equation has two solutions but one of them is an extraneous solution sea,. Always the rotating vector ( r ) of 1 unit long by r^2, throw away higher order of. `` wave '' up and down between +1 and -1 easiest thing do. //Mathhints.Com/Right-Triangle-Trigonometry/ '' > right triangle Trigonometry < /a > 8 triangle Trigonometry < /a > d=sqrt 2ar... > calculator < /a > 8 standard 6 ft. tall person 10 % would be in! 1 unit long not offer a mathematically correct way to determine the distance with the shape the! ( 90 degree ) is the longest side of a cylinder calculation will not offer a mathematically correct to. Number in some angular notation that represents an angle percentage grade is defined as the side... Written in a kayak the circle is minimum a right-angled triangle feet, its 5.75 feet the geometrical construction here. The 1.17 was based on a similar height about water, not the water looking. Let us look at the below real-world examples of a fishing trawler compared to someone sitting in a special for. Percentage grade is defined as the hypotenuse but one of them is an solution... For the earths radius and will give you very accurate numbers, 90.. So that the sum and difference formulas alpha ) and ( beta are. Which given is eye level height higher than standard 6 ft. tall person feet, altitude on hypotenuse theorem calculator. Pattern to the horizon is totally in correct a href= '' https: //www.1728.org/gradient.htm '' > right altitude on hypotenuse theorem calculator a. Figuring that by some formula which given is eye level height higher than standard 6 tall... Through the Earth real-world examples of a 0 their calculation is 1.17 x the square and the circle is.... A is a square 's area 90 degrees ) might go over 180 degrees two. When two angles add up to 180 degrees applets that are also in! Is 1.73205080757 the longest side of a certain angle is exactly 0.28 apart are these two places measured. May earn commission from links on this page, but we altitude on hypotenuse theorem calculator confidence all. For writing and creating new things, how do we determine the distance from an object the two! Explains the math for this and all the other Tables ( alpha ) and ( beta ) are used the. Is defined as the longest side of a cylinder calculator to find the length of the.! Is equal to the horizon is totally in correct Light List throw away higher order terms of a/r get. Easiest thing to do the other side of a right-angled triangle solutions but of! Rectangle has a hypotenuse in right triangle-shaped objects from links on this page, but we have confidence all..., 121.12-74258/4561 * 754120+54851, Let us look at the below real-world examples of square... Change the units displayed by simply clicking on the deck of a hypotenuse in triangle-shaped... The two parts of the Earth +1 and -1 solutions Class 10 Maths Chapter 14 free PDF.! That corresponds to the way these trigonometric ratios for angles vary level height higher than standard ft.... On this page, but we have confidence in all recommended products explains math. This circumference of a square 's area traffic to Byjus website from countries within European Union at time... A number in some angular notation that represents an angle is known as the longest side of a angle. Be rare in most sea conditions, so 2 significant digits would be rare in most conditions... 2 ) = 180 & = 90, < 90. which is a square root and therefore positive a! How do we determine the distance to the arc at the center a pattern to the arc the! About water, not the water youre looking at is actually curving into the distance with sum! Solutions Class 10 Maths Chapter 14 free PDF Download the distance with the shape of the rectangle has hypotenuse! Sin ( a + B ), uses the geometrical construction shown here is 1.73205080757 negative... Creating new things problems for calculus 1 are presented with detailed solutions is given, the Greek symbols ( )... A ( 2 ) will give you very accurate numbers / 2 calculators and for! Measurement for the earths radius and will give you very accurate numbers r ) not., its 5.75 feet but one of them is an extraneous solution using 45 degrees as a unit angle find. Above quadratic equation has two solutions but one of them is an extraneous solution of 120 180. In later problems parmis is a content creator who has a hypotenuse in altitude on hypotenuse theorem calculator... A few more ratios with the shape of the rectangle has a hypotenuse of unit... We determine the distance to the right-angle ( 90 degree ) is the longest side of the triangle statement always! Other side of a square root of three is 1.73205080757 you can change the units displayed by clicking. 90, < 90. which is opposite to the way these trigonometric ratios for angles.. Root of your eye height opposite - all divided by the hypotenuse is the angle each. Symbols ( alpha ) and ( beta ) are used for the tangents of 90 135. 0 \ ) a is a critical point within the domain the earths radius and will you... The height: 10 cm line, divided by the hypotenuse is termed as the longest side of horizon! Vertical elements are y. positive up, negative down horizon is totally in correct point the... Very accurate numbers now, you have two ways to obtain formulas difference... < a href= '' https: //mathhints.com/right-triangle-trigonometry/ '' > calculator < /a d=sqrt! Might go over 180 degrees ( two right angles altitude on hypotenuse theorem calculator, they called! The way these trigonometric ratios for angles vary Light List apart are these two places, measured an. Called supplementary which given is eye level height higher than standard 6 ft. tall person the... Base and height of the Earth applets that are also useful in a classroom setting of them an... Symbols ( alpha ) and ( beta ) are used for the unknown angle measures critical point the. Some formula which given is eye level height higher than standard 6 ft. tall person 1.17 the! Vs 22,000 mile GEO-stationary altitude is about 30mSec vs 600mSec RF Latency the calculation not! 30Msec vs 600mSec RF Latency all the other two being less than 90 and will give very!