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A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 8 ft above the bow. The rope is hauled in at the rate of 3 ft/sec. Complete parts (a) and (b). a. How fast is the boat approaching the dock when 10 ft of rope are out? 5 f/sec (Type an integer or a simplified fraction.) b. At what rate is the angle e changing at this instant? Orad/sec (Type an integer or a simplified fraction.)

A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 8 ft above the bow. The rope is hauled in at the rate of 3 ft/sec. Complete parts (a) and (b). a. How fast is the boat approaching the dock when 10 ft of rope are out? 5 f/sec (Type an integer or a simplified fraction.) b. At what rate is the angle e changing at this instant? Orad/sec (Type an integer or a simplified fraction.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 74E
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Part b
A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 8 ft above the bow. The rope is hauled in at the rate of 3 ft/sec. Complete parts (a) and (b). a. How fast is the boat approaching the dock when 10 ft of rope are out? 5 ft/sec (Type an integer or a simplified fraction.) b. At what rate is the angle e changing at this instant? O rad/sec (Type an integer or a simplified fraction.)
Transcribed Image Text:A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 8 ft above the bow. The rope is hauled in at the rate of 3 ft/sec. Complete parts (a) and (b). a. How fast is the boat approaching the dock when 10 ft of rope are out? 5 ft/sec (Type an integer or a simplified fraction.) b. At what rate is the angle e changing at this instant? O rad/sec (Type an integer or a simplified fraction.)
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