SOLUTION: 2 planes leave an airport at the same time. one flies east at 600 km/h, the toher flies northwest at 400 km/h. how far apart will they be after 2 hours?
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Question 312879: 2 planes leave an airport at the same time. one flies east at 600 km/h, the toher flies northwest at 400 km/h. how far apart will they be after 2 hours? Answer by solver91311(24713) (Show Source):
The paths of the two aircraft are apart. So we have a triangle with sides of km and km and an included angle of .
Use the Law of Cosines:
Since similar triangles have proportional sides, to save some arithmetic difficulties, I recommend using 12 and 8 for the measures of the sides and then multiplying the result by 100 to re-scale your triangle.
You can run a calculator as well as I can -- the rest is up to you.