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CEMC Gauss (Grade 8), 2005

Geometry Difficulty 3.0 AMC 10/12 Find the answer Canada

A "slackrope walker" is much like a tightrope walker except that the rope on which he performs is not pulled tight. Paul, a slackrope walker, has a rope tied to two $15$ m high poles which are $14$ m apart. When he is standing on the rope $5$ m away from one of the poles, he is $3$ m above the ground. How long is the rope?

(A) $28\text{ m}$ (B) $30\text{ m}$ (C) $27\text{ m}$ (D) $26\text{ m}$ (E) $29\text{ m}$

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