Answer:
The building's shadow will be 60 feet.
Step-by-step explanation:
Think of John as a vertical line, and his shadow as a horizontal line on a 90 degree angle, and well as the building and it's shadow.
This is a proportions problem, so you want to match the similar items, right? John and the building are similar, and the two shadows are similar.
Now, set up fractions so you can butterfly multiply to get x, the shadow of the building. John/JohnShadow = Building/BuildingShadow. These two will equal the same thing because they are the same proportion.
5/12 = 25/x
5(x) = 12(25)
5x = 300
x = 300/5
x = 60
The building's shadow will be 60 feet. If you do the math, 5/12 = .4167, and 25/60 = .4167, so the proportions match. Hope this helps, comment if you are confused!
