Abuilding is 2ft from a 7 ft fence that surrounds the property. a worker wants to wash a window in the building 11ft from the ground. he plans to place a ladder over the fence so it rests against the building. he decides he should place the ladder 7ft from the fence for stability. how long of a ladder will he need?

The ladder is approx 14.21 feet long.

Step-by-step explanation:

The base of the ladder is 7 feet from the fence, which is 2 feet from the building, so it will be 9 feet from the building.

The top of the ladder will reach the window which is 11 feet from the ground.

In this way, we get a right triangle with the ladder as the hypotenuse, that we have to find.

Let the hypotenuse be x.

Using the Pythagorean Theorem, we get;

=>

=>

=>

=> x = 14.21

Hence, the ladder is approx 14.21 feet long.