Answer
$\approx$ $130$ $mi/h$
Work Step by Step
$cotθ$ = $\frac{x}{5}$
$-csc^{2}θ\frac{dθ}{dt}$ = $\frac{1}{5}\frac{dx}{dt}$
$-csc^{2}(\frac{\pi}{3})(-\frac{\pi}{6})$ = $\frac{1}{5}\frac{dx}{dt}$
$\frac{dx}{dt}$ $\approx$ $130$ $mi/h$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 2 - Derivatives - 2.8 Related Rates - 2.8 Exercises - Page 187: 45
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