A carpenter is constructing staircase in a house. The distance from the floor to the basement is 10.8 feet. The staircase will be 16.6 feet long. What angle do the stairs make with the basement floor?

Respuesta :

Answer:

[tex]\theta = 40.59^\circ[/tex]

Step-by-step explanation:

Given

The question is illustrated with the attached image

Required

Find [tex]\theta[/tex]

To do this, we use sine formula

i.e.

[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

So, we have:

[tex]\sin(\theta) = \frac{10.8}{16.6}[/tex]

[tex]\sin(\theta) = 0.6506[/tex]

Take arc sin

[tex]\theta = \sin^{-1}(0.6506)[/tex]

[tex]\theta = 40.59^\circ[/tex]

Ver imagen MrRoyal