A fox and an eagle lived at the top of a cliff of height 6 m whose base was at a distance of 10 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 and then flew at a straight line to point A, the distance, traveled by each being the same. Find the value of x

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anonymous · Answer

Also, please note; 10+x is the Eagle's height above the ground; x is the eagles vertical change is distance. 

|dw:1387086505625:dw| Also, I made a mistake in my triangle, which changes the equation. 

$$x+\sqrt{x^2+20x+100}=16$$