Find the value of x of eagle , Mathematics

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.

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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.

Posted Date: 4/8/2013 3:26:16 AM | Location : United States







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