Question

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

Image Transcription

Northeast N course 45° A Radar station Port B3 Z

Expert Answer

1 Rating

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times vary by subject and question complexity. Median response time is 34 minutes and may be longer for new subjects.
Tagged in
MathCalculus

Derivative