Answered: 1.5 mi- Radar station 45 Port ° Point…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.2: The Law Of Cosines

Problem 3E

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Question

A ship leaves port traveling southwest at a rate
of 12 mi>hr. At noon, the ship reaches its closest approach to a radar
station, which is on the shore 1.5 mi from the port. If the ship
maintains its speed and course, what is the rate of change of the
tracking angle u between the radar station and the ship at 1:30 p.m.
(see figure)? (Hint: Use the Law of Sines.)

1.5 mi-
Radar station
45
Port
°
Point of closest
approach
to radar station
Southwest course

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