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A building is 3 ft from a 9-fence that surrounds the property. A worker wants to wash a window in the building 14 ft from the ground . He plans to place a ladder over the fence so it rests against the building. (See the figure.) He decides he should place the ladder 8 ft from the fence for stability . To the nearest tenth of a foot, how long a ladder will he need ?

Answer :

The height of the fence is irrelevant. The bottom of the ladder is 3+8 = 11 feet from the building. The window is 14ft above the ground:
sqrt(14^2+11^2) = length of your ladder.


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