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This is a plane geometry problem. Not plane as in airplane, but plane as in flat surface. We are looking for the hypotenuse of a right triangle. The formula for the hypotenuse is, in words because WikiAnswers doesn't much like symbols, is -
hypotenuse = the square root of the sum of the squares of the two sides.
The plane flying north flies at 510 mph for 2 hours or 1020 miles.
The plane flying west flies at 200 mph for 2 hours or 400 miles.
The hypotenuse of this triangle equals the square root of the sum of 1020 squared and 400 squared.
1020 squared is 1,040,400 and 400 squared is 160,000.
Their sum is 1,200,400.
So their distance apart is the square root of 1,200,400 or 1095.62767 miles.
- wjs1632 -
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