A street has parallel curbs $40$ feet apart. A crosswalk bounded by two parallel stripes crosses the street at an angle. The length of the curb between the stripes is $15$ feet and each stripe is $50$ feet long. Find the distance, in feet, between the stripes. $\textbf{(A)}\ 9 \qquad$ $ \textbf{(B)}\ 10 \qquad$ $ \textbf{(C)}\ 12 \qquad$ $ \textbf{(D)}\ 15 \qquad$ $ \textbf{(E)}\ 25$