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A carpenter is constructing a staircase in a house. The distance from the first floor to the basement is 9.2 feet. The staircase will be 13.3 feet long. What angle do the stairs make with the basement floor?

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Answer:

43.77°

Step-by-step explanation:

The height, h = first floor to basement = 9.2 feets

Length of staircase = hypotenus = 13.3 feets

Angle stacase makes with basement floor, θ

Using trigonometry :

Sinθ = opposite / hypotenus

Opposite = height = 9.2 feets

Sinθ = 9.2 / 13.3

Sinθ = 0.6917293

θ = sin^-1(0.6917293)

θ = 43.77°