2000 Gauss 7 Problem 22

Sam is walking in a straight line towards a lamp post which is 8 m high. When he is 12 m away from the lamp post, his shadow is 4 m in length. When he is 8 m from the lamp post, what is the length of his shadow?

\textbf{(A)}\ 1\frac{1}{2} \text{ m}\quad \textbf{(B)}\ 2 \text{ m}\quad \textbf{(C)}\ 2\frac{1}{2} \text{ m}\quad \textbf{(D)}\ 2\frac{2}{3} \text{ m}\quad \textbf{(E)}\ 3 \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 Gauss contests here.