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1995 AMC 12 Question 18

AMC12 · 1995 AMC 12

Question 18

Two rays with common endpoint $O$ form a $30^\circ$ angle. Point $A$ lies on one ray, point $B$ on the other ray, and $AB=1.$ The maximum possible length of $OB$ is
  1. $1$
  2. $\frac{1+\sqrt3}{\sqrt2}$
  3. $\sqrt3$
  4. $2$
  5. $\frac4{\sqrt3}$