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a painter leans a ladder against a vertical wall. the top of the ladder is 15 meters above the ground. when the bottom of the ladder is moved 3 meters farther away from the wall, the top of the ladder is 11 meters above the ground. what is the length of the ladder? round to the nearest hundredth of a meter.

Respuesta :

From the ground the length of the ladder is 15 feet.

Step-by-step explanation:

From the Pythagorean Theorem, the situation described can be expressed mathematically as:

x² +9² = (x+3)²

or,

x² + 81 = x² + 6x + 9

Now, cancelling equal terms on either side of the equation and reducing gives:

     x = 12

Since the ladder is defined to be 3 feet longer than the distance of its foot to the wall the ladder’s length must be:

       12 feet + 3 feet

        =15 feet

Learn more about Pythagorean Theorem:

https://brainly.com/question/14930619

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