1986 AHSME Problem 18

A plane intersects a right circular cylinder of radius 1 forming an ellipse. If the major axis of the ellipse is 50\% longer than the minor axis, the length of the major axis is

\textbf{(A)}\ 1\qquad \textbf{(B)}\ \frac{3}{2}\qquad \textbf{(C)}\ 2\qquad \textbf{(D)}\ \frac{9}{4}\qquad \textbf{(E)}\ 3

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.