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coldgirl [10]
3 years ago
5

An escalator from the ground floor to the second floor of a department store is 110 ft long and 32 ft vertical. What is the esca

lator’s angle of elevation?

Mathematics
1 answer:
grigory [225]3 years ago
4 0

Answer: 16.91°

Step-by-step explanation:

1. You can draw a right triangle as you can see in the figure attached.

2. Then you can calculate the angle of elevation (α) as following:

\alpha=arcsin(\frac{opposite}{hypotenuse})

Where:

opposite=32\\hypotenuse=110

3. Now you must substitute these values. Then, the angle of elevation is:

 \alpha=arcsin(\frac{32}{110})

\alpha=16.91\°

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