Posted by **Shane** on Saturday, April 6, 2013 at 8:59pm.

Iam stuck with this question.Please anyone help me. An airplane is flying at an altitude of 10,000m.The pilot sees two ships A and B.Ship A is due south of P and 22.5km away(in a direct line).Likewise ship B is due East and 40.8km from P. The height is 10km. Find the distance between the two ships.

- maths -
**MathMate**, Saturday, April 6, 2013 at 10:52pm
Assuming the distances are measured at sea-level, then the altitude of the plane does not affect the distance between the two ships as long as they are navigating both at sea level.

Since they form a right angled triangle with angle P, we can find the distance AB using Pythagoras theorem thus:

AB=√(PA²+PB²)

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