Problem 771

Daily Math Challenge - August 11, 2022



Quick Fun

While attending the circus, you see an amazing sight:  Theodore the Fantastic Frog.  Theodore sits on a stand with his mouth 5 feet 6 inches above the ground.  People walk past Theodore one-by-one.  When standing directly in front of the frog, each person is exactly 1 foot from Theodore.  The amazing part occurs when a person passes in front of Theodore and he sticks out his tongue and touches their nose.  If the tallest person’s nose that Theodore can hit has a nose that is exactly 6 feet 4 inches off the ground, what is the maximum distance (in inches) that Theodore can stick his tongue outside of his mouth?

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