Answer
$\frac{dx}{d\theta} = 5~ft/rad$
Work Step by Step
$\frac{x}{10} = sin~\theta$
$x = 10~sin~\theta$
$\frac{dx}{d\theta} = 10~cos~\theta$
$\frac{dx}{d\theta} = 10~cos~\frac{\pi}{3}$
$\frac{dx}{d\theta} = 5~ft/rad$
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 3 - Section 3.3 - Derivatives of Trigonometric Functions - 3.3 Exercises - Page 196: 37
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