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 :
[tex]tan\theta=\dfrac{6\ inches}{11\ inches}[/tex]
[tex]tan\theta=0.54[/tex]
[tex]\theta=28.3^{\circ}[/tex]
So, the angle of inclination stairway with the floor is 28.3 °. Hence, this is the required solution.
