Question

a carpenter is constructing a staircase in a house the distance from the first floor to the basement is 10.3 feet the staircase will be 17.9 feet long what angle do the stairs make with the basement floor?

Answer 1

check the picture below.

make sure your calculator is in Degree mode.

Answer 2

The angle between the stairs and the basement floor is 35°  

Trigonometric ratio show the relationship between the sides and angles of a right angled triangle.

Let θ represent the angle between the stairs and the basement floor.

Using trigonometric ratios:

$sin(\theta)=\frac{10.3}{17.9} \\\\\theta=sin^{-1}(0.5754)\\\\\theta=35^o$

The angle between the stairs and the basement floor is 35°  

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