If the helicopter then heads back to headquarters, what is the distance and direction it should fly

Question

A red Cross helicopter takes off from headquarters and flies 120 km at 25ﾟ South of West. Then flaws 125 km at 15ﾟ West of North,

Answer 1

Drawn and label a diagram.

The helicopter turns an angle of 50°.

Us Law of Cosines to determine distance back to base.

d² = 120² + 125² - 2(120)(125) cos 50º

The use Law of Sines to determine angle of turn, then bearing.