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?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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3. 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:3. 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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