Mathematics

Mathematics

Problem

A landscape designer creates a path defined by the tangent to a circular pond. The pond has a radius of 1010 meters. A walkway connects a point AA on the path (where the path touches the pond) to a point BB, 2424 meters away on the same tangent line. A straight sightline is drawn from BB to the center of the pond, OO. Find the length of this sightline BOBO.

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