SOLUTION: A building is 2 feet from a 9-foot fence that surrounds the property. A worker wants to wash a window in the building 13 feet from the ground. The worker decides the ladder should

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: A building is 2 feet from a 9-foot fence that surrounds the property. A worker wants to wash a window in the building 13 feet from the ground. The worker decides the ladder should       Log On


   



Question 210229: A building is 2 feet from a 9-foot fence that surrounds the property. A worker wants to wash a window in the building 13 feet from the ground. The worker decides the ladder should be placed 8 feet from the fence for stability.
To the neasrest foot, how long of a ladder will be needed?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A building is 2 feet from a 9-foot fence that surrounds the property. A worker wants to wash a window in the building 13 feet from the ground. The worker decides the ladder should be placed 8 feet from the fence for stability.
To the neasrest foot, how long of a ladder will be needed?
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Draw the picture, including location of the fence and the ladder.
height is 13 ft
base is 8 ft. + 2 ft = 10 ft
hypotenuse is the ladder.
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Equation: ladder^2 = 13^2 + 10^2
ladder = sqrt[169+100]
ladder = 16.40 ft.
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Cheers,
Stan H.