Question

From the time of the call, the boat was carried away by the sea currents 70.0 km in a direction of 80.0° East of North. The boat was later found 100 km, 25.0° South of East away from the Coast Guard station. At the time of distress call, what is the location of the boat from the Coast Guard station?

Answer 1

The location:

$$C_x=100\cos25°-70\cos20°=24.9\text{ km East},\\ C_y=100\sin25°+75\sin20°=67.9\text{ km North}.$$