A dock sits above the water. A rope is attached to a pulley on the edge of the dock. The pulley is located 5ft vertically above the water on the dock. The other end of the rope is attached to a float floating on the water. The rope is pulled in at a constant rate of 3 ft/s. How fast is the float traveling on the surface of the water (towards the dock) at the moment when the boat is 12ft from the dock? Hint: The edge of the dock, down to the water, then over to the float, makes a triangle.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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5. A dock sits above the water. A rope is attached to a pulley on the edge of the dock. The pulley is located 5ft
vertically above the water on the dock. The other end of the rope is attached to a float floating on the water.
The rope is pulled in at a constant rate of 3 ft/s. How fast is the float traveling on the surface of the water
(towards the dock) at the moment when the boat is 12ft from the dock? Hint: The edge of the dock, down to
the water, then over to the float, makes a triangle.
d山T06
NOV
10
PACES
18
MacBook Air
DII
Transcribed Image Text:5. A dock sits above the water. A rope is attached to a pulley on the edge of the dock. The pulley is located 5ft vertically above the water on the dock. The other end of the rope is attached to a float floating on the water. The rope is pulled in at a constant rate of 3 ft/s. How fast is the float traveling on the surface of the water (towards the dock) at the moment when the boat is 12ft from the dock? Hint: The edge of the dock, down to the water, then over to the float, makes a triangle. d山T06 NOV 10 PACES 18 MacBook Air DII
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