2008 Fermat Problem 20

In the diagram, LM is perpendicular to MN. Rectangle WXYZ has W on LM and Z on MN. Also, YZ = 1 m, XY = 3 m and MZ = 1.2 m. What is the distance from X to line MN, to the nearest hundredth of a metre?

\textbf{(A)}\ 2.75 \text{ m}\quad \textbf{(B)}\ 3.67 \text{ m}\quad \textbf{(C)}\ 3.15 \text{ m}\quad \textbf{(D)}\ 3.26 \text{ m}\quad \textbf{(E)}\ 3.63 \text{ m}

If there are no answer choices shown, enter a numerical answer.

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