A Fence Problem

Geometry Level 3

A man has a square field, 60 feet by 60 feet, with other property, adjoining the highway. For some reason he put up a straight fence in the line of the three trees, as shown, and the length of fence from the middle tree to the tree on the road was just 91 feet. What is the distance in exact feet from the middle tree to the gate on the road?

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