Question

PLEASE HELP!

Two weather tracking stations are on the equator 165 miles apart. A weather balloon is located on a bearing of N 40°E from the western station and on a bearing of N 22°E from the eastern station. How far is the balloon from the western station?

Answer 1

the third are 18

Explanation:

Answer 2

The correct answer to this question is this one:

Regular triangle with :

bearing from the western station = 90° - 40° = 50°

bearing from the eastern station.= 90° + 22° = 112°

-> the third angle : 18°

Thus the distance from balloon to the western station:

x/ sin112 = 165 / sin 18