AMC 10A 2014 Problem 22

In rectangle A B C D, A B=20 and B C=10. Let E be a point on \overline{C D} such that \angle C B E=15^{\circ}. What is A E ?

Answer Choices
A. \dfrac{20 \sqrt{3}}{3}
B. 10 \sqrt{3}
C. 18
D. 11 \sqrt{3}
E. 20