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As per the problem
The escalator make a 30° angle with the floor .
The escalator have a vertical height of 36 feet.
Now draw the diagram with the given information, the diagram is attached below
From the diagram,
Horizontal length=AB=d
Distance traveled by the person on the escalator stairs=AC=l
In triangle ABC,
Again in triangle ABC, Using Pythagoras Theorem
The horizontal length needed is
The distance a person would travel on the escalator stairs is 72 ft
