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?

Question

anonymous · Answer

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

anonymous · Answer

thank you