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during a race, runners run triangular path. first leg is 3 miles long. once reach the first water station, runners turn 73 degrees and run back to start. the first runner to finish the race breaks the course record, finishing in the time 36.5 minutes. if the fastest mile ever run was 3 minutes and 43 seconds, is it possible that the first runner could have completed the course in 36.5 minutes?
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no
well that's what i said. there are a ton of logic holes but the goal is still to prove it with law of sines. i got a ways through and decided to write a dissertation about the question.
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