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1973 AMC 12 Question 20

AMC12 · 1973 AMC 12

Question 20

A cowboy is $4$ miles south of a stream which flows due east. He is also $8$ miles west and $7$ miles north of his cabin. He wishes to water his horse at the stream and return home. The shortest distance (in miles) he can travel and accomplish this is
  1. $4+\sqrt{185}$
  2. $16$
  3. $17$
  4. $18$
  5. $\sqrt{32}+\sqrt{137}$