Question

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?

Answer 1

Answer:

$\theta = 40.59^\circ$

Step-by-step explanation:

Given

The question is illustrated with the attached image

Required

Find $\theta$

To do this, we use sine formula

i.e.

$\sin(\theta) = \frac{Opposite}{Hypotenuse}$

So, we have:

$\sin(\theta) = \frac{10.8}{16.6}$

$\sin(\theta) = 0.6506$

Take arc sin

$\theta = \sin^{-1}(0.6506)$

$\theta = 40.59^\circ$