If a man is 4ft and cast a 3ft shadow how long of a shadow would an 18ft flagpole cast?
I'm GUESSING it's:
4/3=18/x
so, x=4.91ft
Thanks!
To solve this problem, we can use a proportion to find the length of the shadow cast by an 18-foot flagpole.
First, let's set up the proportion. We know that the man is 4 feet tall and his shadow is 3 feet long. Let's represent the shadow length of the flagpole as "x".
Therefore, we can set up the proportion as:
(Height of the Man) : (Length of the Man's Shadow) = (Height of the Flagpole) : (Length of the Flagpole's Shadow)
4 ft : 3 ft = 18 ft : x ft
To find "x", we can cross-multiply and solve for the unknown variable:
4 ft * x ft = 3 ft * 18 ft
4x = 54
x = 54 / 4
x = 13.5 ft
Therefore, an 18-foot flagpole would cast a 13.5-foot shadow.