An escalator at a shopping mall is 200 ft 9 in long and rises at an angle of 15 degrees. What is the vertical rise of the escalator rounded to the nearest inch?

Respuesta :

Answer:


Step-by-step explanation:

200 ft = 2400 in

sin(15°) = x/2409 --> x = 2409*sin(15°) ≈ 623 in = 51 ft 11 in

The vertical rise of escalator is 623.49 inch.

In one feet [tex]= 12 inch[/tex]

200 feet [tex]=200*12=2400inch[/tex]

So that, 200 feet and 9 inch [tex]=2409inch[/tex]

Let us consider that vertical rise of escalator is x .

A diagram is attached below,

Apply Sine of angle.

                 [tex]sin(15)=\frac{x}{2409}\\\\x=2409*sin(15)\\\\x=2409*0.26\\\\x=623.49 inch[/tex]

Thus, the vertical rise of escalator is 623.49 inch.

Learn more:

https://brainly.com/question/15018190

Ver imagen ibiscollingwood