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,
![tan30=\frac{36}{d}\\ \\ \frac{1}{\sqrt{3}} = \frac{36}{d}\\ \\ d=36\sqrt{3} \\](https://tex.z-dn.net/?f=%20tan30%3D%5Cfrac%7B36%7D%7Bd%7D%5C%5C%20%5C%5C%20%5Cfrac%7B1%7D%7B%5Csqrt%7B3%7D%7D%20%3D%20%20%5Cfrac%7B36%7D%7Bd%7D%5C%5C%20%5C%5C%20d%3D36%5Csqrt%7B3%7D%20%5C%5C%20)
Again in triangle ABC, Using Pythagoras Theorem
![AC^2=AB^2+BC^2\\ \\ l^2=36^2+(36\sqrt{3})^2\\ \\ l=\sqrt{36^2+(36\sqrt{3})^2} \\ \\ l=\sqrt{5184} =72\\](https://tex.z-dn.net/?f=%20AC%5E2%3DAB%5E2%2BBC%5E2%5C%5C%20%5C%5C%20l%5E2%3D36%5E2%2B%2836%5Csqrt%7B3%7D%29%5E2%5C%5C%20%5C%5C%20l%3D%5Csqrt%7B36%5E2%2B%2836%5Csqrt%7B3%7D%29%5E2%7D%20%5C%5C%20%5C%5C%20l%3D%5Csqrt%7B5184%7D%20%3D72%5C%5C%20)
The horizontal length needed is ![36\sqrt{3} ft](https://tex.z-dn.net/?f=%2036%5Csqrt%7B3%7D%20ft%20%20)
The distance a person would travel on the escalator stairs is 72 ft
Have you learned PEMDAS? (Parenthesis, exponents, multiplication, division, addition, subtraction). That is what I am going to do here.
The first parenthesis, let's solve. 7*10=70-5=65
The second parentheisis: I am assuming the negative sign is a typo, and this answer will be off if it is not. Sorry. 5*10=50
65*50=3250
I hope this helps, and let me know if you need further assistance.
First, solve for either x or y. Since the first is already solved for x, solve the second for x as well;
Yes indeed factors run on energy