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Single Variable Calculus

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Difficult

Related Rates with an Angle of Elevation

SVCALC-VFIUYD

You are on the ferry approaching the Statue of Liberty with your eyes fixed on the torch $310$ feet high. The ferry is moving closer at a rate of $65$ feet/sec. At what rate is the angle of elevation (from your head to the torch) changing when the ferry is $1000$ feet from the statue?

A

$-59.3011$ radians/sec

B

$0.01838$ radians/sec

C

$-0.00031$ radians/sec

D

$0.76336$ radians/sec