MathDB
Man Gone Walking

Source:

December 31, 2005
trigonometry

Problem Statement

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}
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