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1980 AMC 12 Question 9

AMC12 · 1980 AMC 12

Question 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 at a point $\sqrt3$ miles from his starting point, then $x$ is
  1. $\sqrt3$
  2. $2\sqrt3$
  3. $\frac32$
  4. $3$
  5. not uniquely determined by the given
    information