Difference between revisions of "2004 AIME I Problems/Problem 14"
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== Solution == | == Solution == | ||
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== See also == | == See also == | ||
| + | * [[2004 AIME I Problems/Problem 13| Previous problem]] | ||
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| + | * [[2004 AIME I Problems/Problem 15| Next problem]] | ||
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* [[2004 AIME I Problems]] | * [[2004 AIME I Problems]] | ||
Revision as of 02:46, 6 November 2006
Problem
A unicorn is tethered by a 20-foot silver rope to the base of a magician's cylindrical tower whose radius is 8 feet. The rope is attached to the tower at ground level and to the unicorn at a height of 4 feet. The unicorn has pulled the rope taut, the end of the rope is 4 feet from the nearest point on the tower, and the length of the rope that is touching the tower is 
feet, where 
and 
are positive integers, and is prime. Find 
Solution
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