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.
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