SOLUTION: two airplanes leave an airport at the same time. one flies with a bearing of 24 degrees at an average speed of 475 mph and the other flies with a bearing of 285 degrees at an avera

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Question 1090096: two airplanes leave an airport at the same time. one flies with a bearing of 24 degrees at an average speed of 475 mph and the other flies with a bearing of 285 degrees at an average speed of 450 mph. how far apart are the two planes after 2 hours?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate * Time = Distance.
Using (x,y) for distance,
Plane 1:(475cos%2824%29%2A2,475sin%2824%29%2A2)=(950cos%2824%29,950sin%2824%29)
Plane 2:(450cos%28285%29%2A2,450sin%28285%29%2A2)=(900cos%28285%29,900sin%28285%29)
To find the distance use the distance formula,
D%5E2=+%28900cos%28285%29-950cos%2824%29%29%5E2%2B%28900sin%28285%29-950sin%2824%29%29%5E2
Work that out for the answer.