Trigonometry Word Problem

Question

A helicopter flies from the airport on a course with a bearing of 34 degrees. After flying for 50 miles, the helicopter changes course and flies on a bearing of 162 degrees. The helicopter flies back to the airport with a bearing of 308 degrees. How far did the helicopter fly on the last leg of the trip?

Answer 1

Draw and label all angles including secondary!

First turn is 48°. Second turn is 34°

Using law of Sines

d / sin 48° = 50 / sin 34°