Question

a boy who is 4’ tall has a shadow that is 14’ tall. at the same time a barn has a shadow that is 77’ long. how tall is the barn? label your answer with the appropriate units

Answer 1

In this case we can use proportions to solve this question.

We know that 4' is to 14' as the height of the barn is to 77'.

`(4)/(14)=(x)/(77)`

Solve the given proportion:

`\begin{gathered} x=(4)/(14)\cdot77 \\ x=22 \end{gathered}`

It means that the barn is 22' tall.