Find the value of x of eagle , Mathematics

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A fox and an eagle lived at the top of a cliff of height 6m, whose base was at a distance of 10m from a point A on the ground. The fox descends the cliff and went straight to the point A. The eagle flew vertically up to a height x metres and then flew in a straight line to a point A, the distance traveled by each being the same. Find the value of x.

Ans: Distance traveled by the fox = distance traveled by the eagle

(6+x)² + (10)² = (16 - x)²

on solving we get

x = 2.72m.

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