The distance traveled to the top of the escalator to the bottom is 52 ft
Here, we want to calculate the distance a person on the escalator travel from the bottom to the top of the escalator
Firstly, we need a diagrammatic representation to understand this
We can form a right-angled triangle with the information given in the question.
The diagram is shown as below;
From the question, by simply calculating the hypotenuse of the right-angled triangle, we can get the distance traveled from the bottom of the escalator to the top
Let us call this distance d
We can now use the appropriate trigonometric ratio
The trigonometric ratio to use here is the sine since we have the opposite and we want to calculate the hypotenuse
Mathematically;