A fifteen foot ladder is placed against a wall. It reaches 13 feet up the wall. What is the longest distance away from the wall the ladder can be placed?

Step-by-step explanation:

The question is phrased oddly, asking “how far *can* the ladder be from the wall,” instead of “how far *is* the ladder from the wall.”

Draw a picture. The 15-foot ladder is the hypotenuse of a right triangle. The vertical leg of the triangle is 13 feet.

By the Pythagorean Theorem, the remaining leg is √(15²-13²) ≈ 7.5 feet.

Note that the ladder *can* be 7.5 feet from the wall, but it *shouldn’t* be. The angle to the ground is 60°, when the recommended angle is 75°. That makes it. 3.9 feet

d i think

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3.how is solving radical equations different than solving linear equations?

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