A boat is being pulled toward a dock as shown in the figure to the right. If the rope is being pulled in at the rate of 1 foot per second, how fast is the distance between the dock and the boat decreasing when it is 3 feet from the dock? Rope 3 ft| Boat Dock The distance between the dock and the boat is decreasing by feet per second when the boat is 3 feet from the dock. (Round to the nearest thousandth as needed.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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A boat is being pulled toward a dock as shown in the figure to the right. If the rope is being pulled in at the rate of 1 foot per
second, how fast is the distance between the dock and the boat decreasing when it is 3 feet from the dock?
Rope
3 ft
Boat
Dock
The distance between the dock and the boat is decreasing by
feet per second when the boat is 3 feet from the dock.
(Round to the nearest thousandth as needed.)
Transcribed Image Text:A boat is being pulled toward a dock as shown in the figure to the right. If the rope is being pulled in at the rate of 1 foot per second, how fast is the distance between the dock and the boat decreasing when it is 3 feet from the dock? Rope 3 ft Boat Dock The distance between the dock and the boat is decreasing by feet per second when the boat is 3 feet from the dock. (Round to the nearest thousandth as needed.)
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