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Naily [24]
3 years ago
13

A building is 2ft from a 7 ft fence that surrounds the property. A worker wants to wash a window in the building 11ft from the g

round. 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?
Mathematics
2 answers:
777dan777 [17]3 years ago
4 0

Answer:


Step-by-step explanation:

plug the numbers into the Pythagorean theorem

which is A^2 + B^2 = C^2

elena55 [62]3 years ago
4 0

Answer:

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;

9^{2} +11^{2} =x^{2}

=> 81+121=x^{2}

=> 202=x^{2}

=> x=\sqrt{202}

=> x = 14.21

Hence, the ladder is approx 14.21 feet long.

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