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Sagot :
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.
[tex]${data-answer}amp;\sin =\frac{\text { Opposite }}{\text { Hypotenuse }} \\[/tex]
[tex]${data-answer}amp;\sin \left(36.84^{\circ}\right)=\frac{h}{15} \\[/tex]
[tex]${data-answer}amp;\sin \left(36.84^{\circ}\right) * 15=\frac{h}{15} * 15 \\[/tex]
[tex]${data-answer}amp;0.599582468446 * 15=h \\[/tex]
8.993737 = h
[tex]${data-answer}amp;h \approx 9[/tex]
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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