SOLUTION: Two airplanes leave an airport at the same time, one going northwest at 410mph and the other going east at 325mph. How far apart are the planes after 2 hours

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Question 721520: Two airplanes leave an airport at the same time, one going northwest at 410mph and the other going east at 325mph. How far apart are the planes after 2 hours
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Angle between their paths is 90+45 degree. The northwest plane went 410*2 miles from the airport and the eastern plane went 325*2 miles from the airport. This seems a fit for Law Of Cosines. You are looking for the side opposite of the known angle of 135 degrees, the angle between the planes' flight paths from the airport.

Angle: 135 degrees.
A side: 820 miles
Another side: 650 miles
Law Of Cosines: A%5E2%2BB%5E2-2AB%2Acos%28c%29=C%5E2.

You know A and B, and you know also c. Solve for C.