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a ladder that is 14 feet long is placed against a building. the bottom …

Question

a ladder that is 14 feet long is placed against a building. the bottom of the ladder is 6 feet from the base of the building.
in feet, how high up the side of the building is the top of the ladder? round to the nearest tenth of a foot.

Explanation:

Apply the Pythagorean theorem

$$ h^2 + 6^2 = 14^2 $$

Solve for h

$$ LATEXBLOCK0 $$

Round to the nearest tenth

$$ h \approx 12.6\text{ ft} $$

Answer:

A ladder that is 14 feet long is placed against a building. The bottom of the ladder is 6 feet from the base of the building.

In feet, how high up the side of the building is the top of the ladder? Round to the nearest tenth of a foot.

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