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1972 AMC 12 Question 30

AMC12 · 1972 AMC 12

Question 30

A rectangular piece of paper $6$ inches wide is folded as in the diagram so that one corner touches the opposite side. The length in inches of the crease $L$ in terms of angle $\theta$ is:

Question illustration
  1. $3\sec^2\theta\csc\theta$
  2. $6\sin\theta\sec\theta$
  3. $3\sec\theta\csc\theta$
  4. $6\sec\theta\csc^2\theta$
  5. None of these