5. Assume that an airplane is flying toward you at a constant height of 2 miles and at a speed of 100 miles per hour, as shown in the figure below. When the plane is 20 miles away, what is the rate of change of 0?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 2TU: Use the table of values you made in part 4 of the example to find the limiting value of the average...
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5. Assume that an airplane is flying toward you at a constant height of 2 miles and at a speed
of 100 miles per hour, as shown in the figure below. When the plane is 20 miles away, what
is the rate of change of 0?
Transcribed Image Text:5. Assume that an airplane is flying toward you at a constant height of 2 miles and at a speed of 100 miles per hour, as shown in the figure below. When the plane is 20 miles away, what is the rate of change of 0?
Expert Solution
Step 1

Here we solve this question using differentiation and basic trigonometric formulas.

tanθ=perpendicularbase

and cosθ=basehypotenuse

Here height is h, speed is v.

 

 

 

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