## Snapped Pole

#### Problem

A vertical pole $AB$ measuring $5$ metres snaps at point $C$. The pole remains in contact at $C$ and the top of the pole touches the ground at point $T$, a distance of $3$ metres from $A$.

Find the length $AC$, the point where the pole snapped.

Problem ID: 362 (28 Oct 2009) Difficulty: 2 Star