SOLUTION: A building is 1 feet from a 9-foot fence that surrounds the property. A worker wants to wash a window in the building 12 feet from the ground. The worker decides the ladder should

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: A building is 1 feet from a 9-foot fence that surrounds the property. A worker wants to wash a window in the building 12 feet from the ground. The worker decides the ladder should       Log On


   

Question 917394: A building is 1 feet from a 9-foot fence that surrounds the property. A worker wants to wash a window in the building 12 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 MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

height is 12ft,
base is 8ft+%2B+1ft+=+9ft ....you have right angle triangle where
hypotenuse is the ladder
ladder%5E2+=+%2812ft%29%5E2+%2B+%289ft%29%5E2
ladder+=+sqrt%28144ft%5E2%2B81ft%5E2%29
ladder+=+sqrt%28225ft%5E2%29
ladder+=+15ft