AHSME 1961 Problem 40

Find the minimum value of $\sqrt{x^2+y^2}$ if $5x+12y=60$. $\textbf{(A)}\ \frac{60}{13} \textbf{(B)}\ \frac{13}{5} \textbf{(C)}\ \frac{13}{12} \textbf{(D)}\ 1 \textbf{(E)}\ 0$