Question

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?

Answer 1

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