AMC 12A 2012 Problem 10

A triangle has area 30 , one side of length 10 , and the median to that side of length 9 . Let \theta be the acute angle formed by that side and the median. What is \sin \theta ?

Answer Choices
A. \dfrac{3}{10}
B. \dfrac{1}{3}
C. \dfrac{9}{20}
D. \dfrac{2}{3}
E. \dfrac{9}{10}