Two vertical poles are crected 3 meters apart. One pole has height 1 meter, and the other pole has height 3 meters. A short metal hook is screwed into the ground at some point between the two poles. The tops of the two poles are connected by a string that passes through the hook between the poles. What is the shortest possible length of the string? Simplify your answer as much as possible.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
3) Two vertical poles are erected 3 meters apart. One pole has height 1 meter, and the other pole has height
3 meters. A short metal hook is screwed into the ground at some point between the two poles. The tops
of the two poles are connected by a string that passes through the hook between the poles. What is the
shortest possible length of the string? Simplify your answer as much as possible.
Transcribed Image Text:3) Two vertical poles are erected 3 meters apart. One pole has height 1 meter, and the other pole has height 3 meters. A short metal hook is screwed into the ground at some point between the two poles. The tops of the two poles are connected by a string that passes through the hook between the poles. What is the shortest possible length of the string? Simplify your answer as much as possible.
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