2003 Fermat Problem 19

In an art gallery, a 2 m high painting, BT, is mounted on a wall with its bottom edge 1 m above the floor. A spotlight is mounted at S, 3 m out from the wall and 4 m above the floor. The size of \angle TSB is closest to

\textbf{(A)}\ 27^\circ\quad \textbf{(B)}\ 63^\circ\quad \textbf{(C)}\ 34^\circ\quad \textbf{(D)}\ 45^\circ\quad \textbf{(E)}\ 18^\circ

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.