SOLUTION: An airplane takes off from an airport and flies 160 km at a bearing of 195 degrees. It then changes direction and flies 610 km at a bearing of 104 degrees whereupon it crashes. How

Algebra ->  Trigonometry-basics -> SOLUTION: An airplane takes off from an airport and flies 160 km at a bearing of 195 degrees. It then changes direction and flies 610 km at a bearing of 104 degrees whereupon it crashes. How      Log On


   

Question 1097188: An airplane takes off from an airport and flies 160 km at a bearing of 195 degrees. It then changes direction and flies 610 km at a bearing of 104 degrees whereupon it crashes. How far is the crash site (as the crow flies) from the airport ?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
In the X direction,
X=160cos%28195%29%2B610cos%28104%29=-154.5-147.6=-302.1
In the Y direction,
Y=160sin%28195%29%2B610sin%28104%29=-41.4%2B591.9=550.5
So then,
D=sqrt%28%28-302.1%29%5E2%2B%28550.5%29%5E2%29
Work that out for the distance in km.