A flagpole casts a shadow that is 23.5 feet long. At the same time of day, mrs gilbert who is 5.5 feet tall casts a shadow that is 7.5 feet long. How tall in feet is the flagpole?

Shadow of the flagpole=23.5f

Sf=23.5

shadow of gilbert=7.5f

Sg=7.5

height of gilbert=5.5f

hg=5.5

Sf/hf=Sg/hg

23.5/hf=7.5/5.5

23.5*5.5/7.5=hf

(47/2*11/2) / 7.5=hf

(517/4) / (30/4) = hf

(517*4) / (4*30) = hf

517/30=hf

17+7/30=hf

17.233 ... feet=height of flagpole