An 8-ft-tall fence runs parallel to a wall of a house at a distance of 22 ft. 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 and the horizontal ground have infinite extent. The length of the shortest ladder is 35.999 ft. (Round the final answer to the nearest tenth as needed. Round all intermediate values to the nearest thousandth as needed.)
An 8-ft-tall fence runs parallel to a wall of a house at a distance of 22 ft. 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 and the horizontal ground have infinite extent. The length of the shortest ladder is 35.999 ft. (Round the final answer to the nearest tenth as needed. Round all intermediate values to the nearest thousandth as needed.)
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterA: Appendix
SectionA.3: Inequalities
Problem 14E
Related questions
Question
![An 8-ft-tall fence runs parallel to a wall of a house at a distance of 22 ft. 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 and the horizontal ground have infinite extent.
The length of the shortest ladder is 35.999 ft.
(Round the final answer to the nearest tenth as needed. Round all intermediate values to the nearest
thousandth as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc1583cd1-4e78-4dee-96a7-d665b480de1a%2F47391cad-2805-4b3f-b2a1-8f2c7984bc7b%2Fiyl4rzo_processed.png&w=3840&q=75)
Transcribed Image Text:An 8-ft-tall fence runs parallel to a wall of a house at a distance of 22 ft. 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 and the horizontal ground have infinite extent.
The length of the shortest ladder is 35.999 ft.
(Round the final answer to the nearest tenth as needed. Round all intermediate values to the nearest
thousandth as needed.)
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