Concept explainers
Height of the Space Shuttle An observer views the space shuttle from a distance of 2 mi from the launch pad.
- (a) Express the height of the space shuttle as a function of the angle of elevation θ.
- (b) Express the angle of elevation θ as a function of the height h of the space shuttle.
(a)
To Express: The height of the space shuttle as a function of the angle of elevation
Answer to Problem 39E
The expression that represents the height (h) of the space shuttle as a function of the angle of elevation
Explanation of Solution
Given:
The figure shows the angle made by observer eye to space shuttle.
The distance of space shuttle from the launch pad is
Formula Used: Trigonometric Property of tangent:
Calculation:
By Trigonometric Property of tangent,
Substitute
Simplify further to express the value of h in terms of angle of elevation.
Thus, the expression that represents the height (h) of the space shuttle as a function of the angle of elevation
(b)
To Express: The angle of elevation
Answer to Problem 39E
The expression that represents angle of elevation
Explanation of Solution
Given:
The distance of space shuttle from the launch pad is
Calculation:
From part (a) we get the expression,
Simplify further to express the value of
Simplify further by taking
Thus, the expression that represents angle of elevation
Chapter 6 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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