2009 Fermat Problem 10

Judi leans a 25 m ladder against a vertical wall with the bottom of the ladder 7 m from the wall. (Please note that Judi is very strong – don't try this at home!) As she pulls the bottom of the ladder away from the wall, the top of the ladder slides 4 m down the wall. How far did she pull the bottom of the ladder from its original position?

\textbf{(A)}\ 4\ \text{m}\quad \textbf{(B)}\ 11\ \text{m}\quad \textbf{(C)}\ 2\ \text{m}\quad \textbf{(D)}\ 13\ \text{m}\quad \textbf{(E)}\ 8\ \text{m}

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Full credit to this problem is given to the CEMC, you may view all Fermat contests here.