Question

A fire is sighted due west of lookout A. The bearing of the fire from lookout B, 8.2 miles due south of A, is N 33.90°W (meaning 33.90 degrees west of due north). How far is the fire from B (to the nearest tenth of a mile)?

Answer 1

on sketching u will get a right angled triangle
Using Cos x = adj/hyp
cos33.9 = 8.2/hyp
hyp=8.2 / (cos33.9)

Answer 2

9.9 miles to 1 dp

Answer 3

thank you