SOLUTION: Two cars leave from the same piont and travel along straight highways which differ in direction by 84 degrees. If their speeds are 60 m.p.h. and 45 m.p.h. respectively,approximat

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Question 867505: Two cars leave from the same piont and travel along straight highways which differ in direction by 84 degrees. If their speeds are 60 m.p.h. and 45 m.p.h.
respectively,approximately how far apart will they be at the end of 20 minutes.
This is LAW OF COSINES...

Answer by josgarithmetic(39629) About Me  (Show Source):
You can put this solution on YOUR website!
rate*time=distance in any given direction. Your units are miles per hour, and hours. The 20 minutes is %281%2F3%29%2Ahour.

Let d = the distance length opposite the 84 degree angle. This is distance between the two cars.
%2860%281%2F3%29%29%5E2%2B%2845%2F3%29%5E2-2%2860%2F3%29%2845%2F3%29cos%2884%29=d%5E2
Find square root of d%5E2.