MathDB

9

Part of 1980 AMC 12/AHSME

Problems(1)

Man Gone Walking

Source:

12/31/2005
A man walks xx miles due west, turns 150∘150^\circ to his left and walks 3 miles in the new direction. If he finishes a a point 3\sqrt{3} from his starting point, then xx is (A) 3(B) 25(C) 32(D) 3(E) not uniquely determined\text{(A)} \ \sqrt 3 \qquad \text{(B)} \ 2\sqrt{5} \qquad \text{(C)} \ \frac 32 \qquad \text{(D)} \ 3 \qquad \text{(E)} \ \text{not uniquely determined}
trigonometry