To answer this Q properly, we must know the exact distance of the first pole from the second. If the second pole were in exactly the same place as first, it would be 1/3 of its height, at 24 feet, but "nearby" means that height of shadow will be different. You must be provided the distance of the first pole from second to figure this answer accurately.

# A Pole 24 Feet High Has A Shadow 8 Feet Long. A Nearby Pole Is 72 Feet Tall. How Long Is It's Shadow?

Something tells me the answer to this problem is 24.

I think it's nine feet long

First figure your ratio of, feet in Height : Length of shadow. Second apply the ratio to the second figure (i.e. 72' H : Shadow L). Just a clue not the answer.

Let x= the shadow of the 72 feet pole.

using ratio and proportion:

24/8 =72/x

x= 24 ft

using ratio and proportion:

24/8 =72/x

x= 24 ft