Jim is six feet tall, and his shadow is 16 feet long. The flagpole he is standing next to casts a shadow that is 72 feet long. How tall is the flagpole, in feet?
We can sole this with a proportion
Jim's Height Flagpole Height
___________________ = __________________
Shadow Length of Jim Flagpole Shadow Length
6 Flagole Height
__ = _____________
16 72
[ 6 /16 = 3/8 ]...so....
3 / 8 = Flagpole Height / 72 multiply both sides by 72
72 * 3 / 8 = Flagpole Height
216 / 8 = Flagpole Height
27 ft = Flagpole Height