Question

A 16-foot tall flagpole casts a shadow that is 8 feet long. How tall is the nearby football goal post if it hasa shadow of 4 feet?

Answer 1

we can draw a picture of this:

where both right triangles are congruent. This means that

`(x)/(16)=(4)/(8)`

hence,

`\begin{gathered} x=(16)((4)/(8)) \\ x=(16)/(2) \\ x=8 \end{gathered}`

Therefore, the football goalis 8 feet tall