Hauling in a dinghy A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 6 ft above the bow. The rope is hauled in at the rate of 2 ft/sec. a. How fast is the boat approaching the dock when 10 ft of rope are out? b. At what rate is the angle 0 changing at this instant (see the figure)? Ring at edge of dock 6'

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 32E
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Hauling in a dinghy A dinghy is pulled toward a dock by a
rope from the bow through a ring on the dock 6 ft above the bow.
The rope is hauled in at the rate of 2 ft/sec.
a. How fast is the boat approaching the dock when 10 ft of rope
are out?
b. At what rate is the angle 0 changing at this instant (see the
figure)?
Ring at edge
of dock
6'
Transcribed Image Text:Hauling in a dinghy A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 6 ft above the bow. The rope is hauled in at the rate of 2 ft/sec. a. How fast is the boat approaching the dock when 10 ft of rope are out? b. At what rate is the angle 0 changing at this instant (see the figure)? Ring at edge of dock 6'
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