A 6​-ft-tall fence runs parallel to the wall of a house at a distance of 7ft. Find the length of the shortest ladder that extends from the ground to the house without touching the fence. Assume the vertical wall of the house is 20 ft high and the horizontal ground extends 25 ft from the fence. What is the length of the shortest ladder in ft?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.4: The Pythagorean Theorem
Problem 18E: A hot-air balloon is held in place by the ground crew at a point that is 21 ft from a point directly...
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A 6​-ft-tall fence runs parallel to the wall of a house at a distance of 7ft. Find the length of the shortest ladder that extends from the ground to the house without touching the fence. Assume the vertical wall of the house is 20 ft high and the horizontal ground extends
25 ft from the fence.
What is the length of the shortest ladder in ft?
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