   Chapter 8.2, Problem 75E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Height A 25-meter line is used to tether a helium-filled balloon to the ground. Because of a breeze, the line makes an angle of approximately 75° with the ground.(a) Draw the right triangle that gives a visual representation of the problem. Show the known side lengths and angles of the triangle and use a variable to indicate the height of the balloon.(b) Use a trigonometric function to write an equation involving the unknown quantity.(c) What is the height of the balloon?

(a)

To determine

To graph: A right triangle where the length of hypotenuse is 25 meter and an angle of elevation is 75° with the ground.

Explanation

Given Information:

A right triangle where the length of hypotenuse is 25 meter and an angle of elevation is 75° with the ground.

Graph:

Draw a right triangle with the length of hypotenuse AC is 25 meter and an angle of elevation θ=75° with the ground and assume that height of the balloon AB is h meter

(b)

To determine

The equation using trigonometric function if A right triangle where the length of hypotenuse is 25 meter and an angle of elevation is 75° with the ground.

(c)

To determine

The height h of the balloon from the ground when the angle of elevation is 75° and the length of the hypotenuse is 25 meter.

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