Question

Elliott is standing at the top of a store escalator that leads to the ground floor below. the angle of depression from the top of the escalator to the floor is 36.84°, and the escalator is 15 feet long. how far is the top of the escalator from the ground floor? round your answer to the nearest foot. 9 feet 12 feet 20 feet 36 feet

Answer 1

The top of the escalator exists 9 feet far from the ground floor.

How to estimate how far is the top of the escalator from the ground floor?

Let h denote the distance between the top of the escalator from the ground floor.

We have existed given that the angle of depression from the top of the escalator to the floor stands 36.84°, and the escalator exists 15 feet long.

The side h exists opposite side and 15 feet side exists hypotenuse of a right triangle.

${data-answer}amp;\sin =\frac{\text { Opposite }}{\text { Hypotenuse }}$

${data-answer}amp;\sin \left(36.84^{\circ}\right)=\frac{h}{15}$

${data-answer}amp;\sin \left(36.84^{\circ}\right) * 15=\frac{h}{15} * 15$

${data-answer}amp;0.599582468446 * 15=h$

8.993737 = h

${data-answer}amp;h \approx 9$

Therefore, the top of the escalator exists 9 feet far from the ground floor.

To learn more about the sides of a triangle refer to:

https://brainly.com/question/22562250

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