Two tracking stations, A and B, are on an east-west line 110 miles apart. A forest fire is located at F, on a bearing 42 degrees northeast of station A and 15 degrees northeast of station B. How far is the fire from station A?
1 Answer
Aug 29, 2015
Find the distance from the fire to the station.
Explanation:
In the triangle FBA, the angle F is : 180 - A - B = 180 - 42 - 15 = 133 deg. Call x the distance FA. The distance of the base AB is 110.
Apply the Sine Law :
In the triangle FBA, we get:
