Question

PRE CALC HELP? Two weather tracking stations are on the equator 146 miles apart. A weather balloon is located on a bearing of N 35°E from the western station and on a bearing of N 23°E from the eastern station. How far is the balloon from the western station?

Answer 1

Stations W, E and balloon B

Answer 2

BEW = 90+23 = 103

Answer 3

113

Answer 4

\[{BW \over \sin(m\angle E)} ={EW \over \sin(m\angle B)}\]\[\implies BW = 146 \times {\sin (113°) \over \sin(12°)}\]