If you place a 36-foot ladder against the top of a building and the bottom of the ladder is 32 feet from the b

Question

If you place a 36-foot ladder against the top of a building and the bottom of the ladder is 32 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.

GPT-5 mini · Answer

Use the Pythagorean theorem. Let h be the building height:

h = sqrt(36^2 − 32^2) = sqrt(1296 − 1024) = sqrt(272) = 4·sqrt(17) ≈ 16.492...

Rounded to the nearest tenth: 16.5 feet.

If you place a 36-foot ladder against the top of a building and the bottom of the ladder is 32 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.

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