An escalator lifts people to the second floor of a building, 20 ft above the first floor. The escalator rises at a 30 degrees angle. To the nearest foot, how far does a person travel from the bottom to the top of the escalator?

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14-01-2019
Mathematics

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An escalator lifts people to the second floor of a building, 20 ft above the first floor. The escalator rises at a 30 degrees angle. To the nearest foot, how far does a person travel from the bottom to the top of the escalator?

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s1747256 s1747256 · Answer 1 · 2022-02-17T05:24:17+01:00

s1747256 s1747256

17-02-2022

Answer:

40 feet

Step-by-step explanation:

hypotenuse= 2 times shorter leg

s= 2 times 20

s=40

so a person will travel 40 ft from the bottom to the top of the escalator.

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psm22415 psm22415 · Answer 2 · 2022-06-12T05:27:18+02:00

The person has to travel 40 feet from the bottom to the top of the escalator.

What is the sin angle?

Sine is the ratio of the opposite side to the hypotenuse side of the right triangle.

The above scenario forms a right angled triangle where the escalator follows the path of the hypotenuse.

The diagram is attached below

In the right angled triangle ABC,

AC represents Distance person travel from the bottom to the top of the escalator

AB = 20 feet

angle ACB = 30 degree

The distance of person travel from the bottom to the top of the escalator is;

[tex]\rm Sin\theta=\dfrac{Opposite}{Hypotenuse}\\\\Sin\theta=\dfrac{AB}{AC}\\\\Sin30=\dfrac{20}{AC}\\\\\dfrac{1}{2}=\dfrac{20}{AC}\\\\ AC = 2\times 20\\\\AC =40[/tex]

Hence, the person has to travel 40 feet from the bottom to the top of the escalator.

Learn more about sin angles here;

https://brainly.com/question/14264271

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An escalator lifts people to the second floor of a​ building, 20 ft above the first floor. The escalator rises at a 30 degrees angle. To the nearest​ foot, how far does a person travel from the bottom to the top of the​ escalator?

Respuesta :

What is the sin angle?

Otras preguntas

An escalator lifts people to the second floor of a building, 20 ft above the first floor. The escalator rises at a 30 degrees angle. To the nearest foot, how far does a person travel from the bottom to the top of the escalator?