Answer
$5$ $ft/rad$
Work Step by Step
$sinθ$ = $\frac{x}{10}$
$x$ = $10sinθ$
rate of change of x = $\frac{dx}{dθ}$
$\frac{dx}{dθ}$ = $10cosθ$
$\frac{dx}{dθ}|_{θ={\frac{\pi}{3}}}$ = $10cos({\frac{\pi}{3}})$ = $5$ $ft/rad$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 2 - Derivatives - 2.4 Derivatives of Trigonometric Functions - 2.4 Exercises - Page 151: 37
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