SOLUTION: Two planes leave an airport at the same time, one flying due west at 500km/h and the other flying due southeast at 300km/h. What is the distance between the planes two hours later?

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Question 295678: Two planes leave an airport at the same time, one flying due west at 500km/h and the other flying due southeast at 300km/h. What is the distance between the planes two hours later?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Two planes leave an airport at the same time, one flying due west at 500km/h and the other flying due southeast at 300km/h. What is the distance between the planes two hours later?
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From their starting point, one plane is 1000 km away, the other is 600 km away.
The angle between their paths is 135 degs
s = distance between the planes
s%5E2+=+1000%5E2+%2B+600%5E2+-+2%2A1000%2A600%2Acos%28135%29
s%5E2+=+1360000+%2B+1200000%2Asqrt%282%29%2F2
s%5E2+=+1360000+%2B+600000sqrt%282%29
s =~ 1486.11 km
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PS "due southeast" is not a valid navigation term.
It's "due east, due north", etc, only the 4 cardinal compass points.