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

Answer:

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

Step-by-step 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 :

$tan\theta=\dfrac{6\ inches}{11\ inches}$

$tan\theta=0.54$

$\theta=28.3^{\circ}$

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

Answer 2

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