AHSME 1980 Problem 9

A man walks $x$ miles due west, turns $150^\circ$ to his left and walks 3 miles in the new direction. If he finishes a a point $\sqrt{3}$ from his starting point, then $x$ is $\text{(A)} \ \sqrt 3 \text{(B)} \ 2\sqrt{5} \text{(C)} \ \frac 32 \text{(D)} \ 3 \text{(E)} \ \text{not uniquely determined}$