Oblique tracking. 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 shor 1.5 miles from the port. if the ship maintains its speed and course, what is the rate of change of the tracking angle theta between the radar station and the ship at 1:30 p.m (hint: use the law of sines.)

2 answers

What does the coastline look like? Is it straight? N-S, E-W? All I know for sure just now is that the radar station lies somewhere on a circle of radius 1.5 with its center at the port.

Anyway, draw a diagram. It should be clear how to use the available angles and distances to apply the law of sines.
I guess maybe assume straight shoreline running NW to SE