A pulley is on the edge of a dock, 10 feet above the water level. A rope is bein

Question

A pulley is on the edge of a dock, 10 feet above the water level. A rope is being used to pull in boat. The rope is attached to the boat at water level. The rope is being pulled in at the rate of 2 feet per second. Find the rate at which the boat is approaching the dock at the instant the boat is 10 feet from the dock.

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The boat is approaching the dock at a rate of ??? feet per second when the boat is 10 feet from the dock.

(Round to the nearest thousandth as needed)

Explanation / Answer

Height, h = 10 ft.
Distance from Dock, d = 10 ft.
Rope Length = L

Find dd/dt:

L

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