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A port and a radar station are 3 mi apart on a straight shore running east and west. A ship leaves the port at noon traveling at a rate of 15 ​mi/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? (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 of 45° as needed. Use radians to express any other angles. (see image)
Northeast
N
course
45°
A
Radar station
Port
B3
Z
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Transcribed Image Text:Northeast N course 45° A Radar station Port B3 Z
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Calculus: Early Transcendentals
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