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A post 20 meters long stands vertically in a horizontal plane. Another post stands vertically on the same horizontal plane, 45 meters high, and 80 meters from the first post. A peg must be placed on the horizontal plane that will hold the rope from the top of the first post to the peg then to the top of the second post. How far from the shorter pole must the peg be installed so that the length of the rope is minimum?

A post 20 meters long stands vertically in a horizontal plane. Another post stands vertically on the same horizontal plane, 45 meters high, and 80 meters from the first post. A peg must be placed on the horizontal plane that will hold the rope from the top of the first post to the peg then to the top of the second post. How far from the shorter pole must the peg be installed so that the length of the rope is minimum?

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter44: Solution Of Equations By The Subtraction, Addition, And Division Principles Of Equality
Section: Chapter Questions
Problem 38A
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A post 20 meters long stands vertically in a horizontal plane. Another post stands vertically on the same horizontal plane, 45 meters high, and 80 meters from the first post. A peg must be placed on the horizontal plane that will hold the rope from the top of the first post to the peg then to the top of the second post. How far from the shorter pole must the peg be installed so that the length of the rope is minimum?
Transcribed Image Text:A post 20 meters long stands vertically in a horizontal plane. Another post stands vertically on the same horizontal plane, 45 meters high, and 80 meters from the first post. A peg must be placed on the horizontal plane that will hold the rope from the top of the first post to the peg then to the top of the second post. How far from the shorter pole must the peg be installed so that the length of the rope is minimum?
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