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.

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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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