Question

To find the height of a tree, a student measured the tree's shadow and her own shadow. If the student's height is 5'6, what is the height of the tree?

Answer 1

According to the given information, we have the following

The height of the student is 5 feet and 6 inches, which is equivalent to 5.5 feet.

Then, we have to use the following proportion to find the answer

`(x)/(5.5)=(24)/(3)`

Now, we solve for x

`\begin{gathered} x=(24)/(3)\cdot5.5 \\ x=8\cdot5.5=44 \end{gathered}`

Hence, the height of the tree is 44 feet.