If you place a 24-foot ladder against the top of a 22-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foo

1 answer

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By using the Pythagorean theorem, we can find the distance between the bottom of the ladder and the bottom of the building.

a^2 + b^2 = c^2

where a is the height of the building (22 feet), b is the distance between the bottom of the ladder and the bottom of the building (what we want to find), and c is the length of the ladder (24 feet).

Substituting the values into the formula, we have:

22^2 + b^2 = 24^2

484 + b^2 = 576

b^2 = 92

b ≈ 9.6

Therefore, the bottom of the ladder will be approximately 9.6 feet from the bottom of the building. Rounded to the nearest tenth of a foot, this is 9.6 feet.