Help solve my math problem please!

Question

Lookout station B is located 6 mi due east of station A. The bearing of a fire from A is S 9°50'W and the bearing from B is S28°50'W. Determine the distance from the fire to B (to the nearest tenth of a mile).

Answer 1

Draw a diagram and label the first F.

 

∠FAB = 99°50', ∠ABF = 61°10', ∠AFB = 19°

 

Using Law of Sines

 

FB / sin 99°55' = 6 / sin 19°

FB / 0.985 ≈ 6 / 0.326

FB / 0.985 ≈ 18.40

FB ≈ 18.685