Is it that far?

Geometry Level 2

The tower for a radio station stands \(200\) ft tall. A guy wire \(250\) ft long supports the antenna on one side and it is fastened at point \(A\) on the ground. Another guy wire \(300\) ft long supports the antenna on the opposite side and it is fastened at point \(B\) on the ground. Assuming that the ground is horizontal, how far is \(A\) from \(B\) in feet?

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