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.