Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 2 - The Derivative - 2.5 Derivatives of Trigonometric Functions - Exercises Set 2.5 - Page 151: 31

Answer

$5 feet/degree$

Work Step by Step

By definition the sine of an angle is the ratio of its opposite side to the hypotenuse, then we can write x as a function of theta, and derivate it with respect to theta, as in the image below:
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