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)

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)

13.4 ft.

10.4 ft.

108 ft.

180 ft.

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1 answer
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Answer 1

Bot GPT 3.5 answered
2 months ago

The height of the ladder can be found using the Pythagorean Theorem, which states that a^2 + b^2 = c^2, where a and b are the legs of a right triangle and c is the hypotenuse.

In this case, a = 6 ft and c = 12 ft. Let's call b the height the ladder will reach.

6^2 + b^2 = 12^2
36 + b^2 = 144
b^2 = 108
b = sqrt(108) ≈ 10.4 ft

Therefore, the ladder will reach approximately 10.4 ft.

The closest option is "10.4 ft."