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A building is 2 ft from a 9-foot fence that surrounds the property. A worker wants to wash a window in the
building that is 13 feet from the ground. He plans to place a ladder over the fence so it rests against the building
just below the window. He decides he should place the ladder 8 feet from the fence for stability. If he does this,
how long does the ladder need to be? (round answer to nearest inch).