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2009 AMC 12A Question 13

AMC12 · 2009 AMC 12A

Question 13

A ship sails $10$ miles in a straight line from $A$ to $B,$ turns through an angle between $45^\circ$ and $60^\circ,$ and then sails another $20$ miles to $C.$ Let $AC$ be measured in miles. Which of the following intervals contains $AC^2?$

Question illustration
  1. $[400, 500]$
  2. $[500, 600]$
  3. $[600, 700]$
  4. $[700, 800]$
  5. $[800, 900]$