Ans:
Distance travelled by the fox $=$ distance travelled by the eagle
$$
(6+x)^{2}+(10)^{2}=(16-x)^{2}
$$
on solving we get $x=2.72 \mathrm{~m}$.
A fox and an eagle lived at the top of a cliff of height $6 m$, whose base was at a distance of $10 \mathrm{~m}$ 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 travelled by each being the same. 3 Find the value of $x$.
A fox and an eagle lived at the top of a cliff of height $6 m$, whose base was at a distance of $10 \mathrm{~m}$ 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 travelled by each being the same. 3 Find the value of $x$.