A boat is pulled into a dock by means of a rope attached to a pulley on the dock. The rope is attached to the front of the boat, which is 8 feet below the level of the pulley. If the rope is pulled through the pulley at a rate of 18 ft/min, at what rate will the boat be approaching the dock when 110 ft of rope is out? The boat will be approaching            the dock at ft/min. Hint: Sketch a diagram of this situation.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
Problem 42E: In Exercises 41 and 42, round to two decimal places. A goat is tethered to a barn by a 12-ft chain....
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A boat is pulled into a dock by means of a rope attached to a pulley on the dock. The rope is attached to the front of the boat, which is 8 feet below the level of the pulley. If the rope is pulled through the pulley at a rate of 18 ft/min, at what rate will the boat be approaching the dock when 110 ft of rope is out?

The boat will be approaching            the dock at ft/min.

Hint: Sketch a diagram of this situation. 

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