Two fire towers are 30 km apart, tower A being due west of tower B. A fire is spotted from the towers, and the bearings from A and B are E 14° N and W 34° N, respectively. Find the distance d of the fire from the line segment AB.

Answer 1

Find the 3 angles of the triangle, then use law of sines to find a, the side opposite angle A

then, d = a sin34°

Answer 2

29.3