you want to find the height of the flagpole at school. you are 6ft tall and you cast a 4ft shadow. at the same time the flagpole casts a 12ft shadow. how tall is the flagpole?
We can solve this with a simple proportion
your height flagpole height
------------------------------ = --------------------------------------------------
length of your shadow length of shadow cast by the flagpole
6/ 4 = flagpole height / 12 ....... multiply both sides by 12
12 [6/4] = flagpole height
72/4 = flagpole height
18 ft = flagpole height