Can you help me solve I`m stuck?

Question

how tall is a tree that casts a 27 ft shadow at the same time that a 4 ft

fence post casts a 3 ft shadow?

Answer 1

if 4 feet casts 3 feet shadow, obviously, the tree is more than 27 feet tall, isn't it? so it is 36 feet tall!

Answer 2

9ft

Answer 3

36 feet

Answer 4

Proportion:

4ft fence is to 3ft shadow as xft tree is to 27ft shadow; same as

4ft: 3ft :: x: 27  which is 4/3=x/27

cross multiplying gives (4/3)*27= x

x= 9*4 = 36ft tree

So a 36 feet tree will give a 27 feet shadow at that time. Sounds like sunset.

Answer 5

proportions

4/3 = x/27

x = 27*(4/3)

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