2014 Fermat Problem 23

\triangle PQR has PQ = 150 and PR = QR = 125, as shown. Three line segments are drawn parallel to QR, dividing \triangle PQR into four sections of equal area. The height, h, of the bottom section is closest to

\textbf{(A)}\ 16.7\quad \textbf{(B)}\ 16.9\quad \textbf{(C)}\ 16.5\quad \textbf{(D)}\ 16.3\quad \textbf{(E)}\ 16.1

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

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