# Lookout station B is located 9 mi due east of station A. The bearing of a fire from A is S 19W and the bearing from B is S 39.833W. How do you determine the distance from the fire to B (to the nearest tenth of a mile)?

##### 1 Answer

Dec 14, 2016

Distance to Fire from station B:

#### Explanation:

Here is my understanding of the situation:

By the Law of Sines:

and with the aid of a calculator: