Question

What angle of inclination (to the nearest whole degree) does a stairway make with the floor if the steps have a tread of 11 inches and a rise of 6 inches?

Answer 1

tan x = opposite / adjacent
tan x = 6 / 11
tan x = 6 / 11
x = 28.61 (or 29 degrees rounding to the nearest whole degree)

Answer 2

The angle of inclination stairway with the floor is 28.3 °.

Explanation:

In this question, we need to find the angle of inclination a stairway make with the floor. The steps have a tread of 11 inches and a rise of 6 inches. Let the angle is θ.

Using trigonometric identity as :

`tan\theta=(6\ inches)/(11\ inches)`

`tan\theta=0.54`

`\theta=28.3^(\circ)`

So, the angle of inclination stairway with the floor is 28.3 °. Hence, this is the required solution.