Question

Sylvia is replacing a piece of siding on her house. To make the 12 ft. ladder stable, the bottom of the ladder needs to be 6 ft. from the base of her house. Applying the Pythagorean Theorem and rounding to the nearest tenth, how high will the ladder reach so that Sylvia can replace the siding?(1 point)
Responses

13.4 ft.
13.4 ft.

108 ft.
108 ft.

10.4 ft.
10.4 ft.

180 ft.
180 ft.
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Answer 1

Use the Pythagorean theorem: height^2 + 6^2 = 12^2, so height = sqrt(144 − 36) = sqrt(108) ≈ 10.3923. Rounded to the nearest tenth: 10.4 ft.