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?
ok here we go
Regular triangle with :
bearing from the western station = 90° - 40° = 50° bearing from the eastern station.= 90° + 22° = 112°
-> the third angle : 18°
There for the distance from balloon to the west station:
x/ sin112 = 165 / sin 18.
I think i nailed this ...
Answer:
459.07
Step-by-step explanation:
Western station baring = 90 - 40 =50
Eastern station baring = 90 + 22= 112
Thus, the angle from the balloon is 18
X= Distance from balloon to west station
x/ sin 122 =165/ sin 18
x= 165(sin122)/ sin 18
= 495.07