What is the approximate distance the helicopter flew in miles?

Question

A helicopter flies from the airport on a course with a bearing of 21°. After flying for 96 miles, the helicopter flies due east for some time. The helicopter flies back to the airport with a bearing of 223°. How far did the helicopter fly on the final leg of its journey?

Answer 1

96 miles on 21 degrees bearing

then due east for some time

then back to starting place with bearing 233 degrees

it helps to draw a diagram

construct a triangle with 96 as the side opposite 37 degrees

d = side opposite 101 degrees

use law of sines

d = 96sin101/sin37 = about 156.59 miles= distance traveled on last leg