Pole Problem

Two poles of heights 3 metres and 2 metres are erected upright on the ground and ropes are stretched from the top of each to the foot of the other.[br][br][list=1][*]At what height above the ground do the ropes cross each other?[/*][*]Taking the heights of the poles as a and b and height above the ground of the point where the ropes cross each other as h, find the relation between a, b and h.[/*][*]Prove that this height would be the same, whatever be the distance between the poles.[/*][/list]
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