AHSME 1951 Problem 12

At $2: 15$ o'clock, the hour and minute hands of a clock form an angle of: $\textbf{(A)}\ 30^{\circ} \textbf{(B)}\ 5^{\circ} \textbf{(C)}\ 22\frac {1}{2}^{\circ} \textbf{(D)}\ 7\frac {1}{2} ^{\circ} \textbf{(E)}\ 28^{\circ}$