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?

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): You can put this solution on YOUR website!

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.

John

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