Answer:
x = 142.85, or the Height of the Building is 142.85
Step-by-step explanation:
If I am right this is a proportion.
Building:
Height - X
Shadow - 100ft
Light Pole:
Height - 20ft
Shadow - 14ft
Basically these 2 are equal to each-other. So we use proportional math. Height over shadow, and then we butterfly multiply. So!
[tex]\frac{20}{14}[/tex] = [tex]\frac{x}{100}[/tex]
To multiply and find the answer we butterfly multiply, 20x100 = 2000,
and then 14x(x) = 14x so we have 2000 = 14x. We have to solve for X, so we divide both sides by 14 to get X alone.
2000/14 = 142.85 and 14x/14 = x. In the end, we have x = 142.85.
Hope this helps!
