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LUCKY_DIMON [66]
3 years ago
12

A carpenter is constructing staircase in a house. The distance from the floor to the basement is 10.8 feet. The staircase will b

e 16.6 feet long. What angle do the stairs make with the basement floor?
Mathematics
1 answer:
konstantin123 [22]3 years ago
4 0

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

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