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spayn [35]
3 years ago
9

An escalator in a department store makes an angle of 45∘with the ground. How long is the escalator if it carries people a vertic

al distance of 24 feet?
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
6 0

Answer:

Length of the escalator is 33.94 feet.

Step-by-step explanation:

In the attached figure we can see that

sin(\theta )=\frac{V}{L}

It is given that

angle = 45

Vertical Height 'V' = 24 feet

Applying values in the above equation we get

sin(45^{o})=\frac{24}{L}\\\\\frac{1}{\sqrt{2}}=\frac{24}{L}\\\\ \therefore L=24\times \sqrt{2}\\\\L=33.94feet

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