A port and a radar station are 3mi apart on a straight shore running east and west. A ship leaves the port at noon traveling at a rate of 18mi/hr. If the ship maintains its speed and course, what is the rate of change of the tracking angle θ between the shore and the line between the radar station and the ship at 12:30 PM? (Hint: Use the law of sines.) Use the Law of Sines to find an equation relating the angle,θ,the angle that the ship left the port at, the distance between the radar system and the ship, a, and the distance between the port and the ship, s. Evaluate any known trigonometric functions of45°as needed.

A port and a radar station are 3mi apart on a straight shore running east and west. A ship leaves the port at noon traveling at a rate of 18mi/hr. If the ship maintains its speed and course, what is the rate of change of the tracking angle θ between the shore and the line between the radar station and the ship at 12:30 PM? (Hint: Use the law of sines.) Use the Law of Sines to find an equation relating the angle,θ,the angle that the ship left the port at, the distance between the radar system and the ship, a, and the distance between the port and the ship, s. Evaluate any known trigonometric functions of45°as needed.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.1: Angles

Problem 48E

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