Question

1. Use a proportion to find the height of the tree.

Answer 1

Given:

Height of the tree

To find the height of the tree, we use ratio/proportion.

So, we let x be the height of the tree and use the formula:

Height of man/length of man's shadow = x/length of the tree's shadow

`\begin{gathered} \frac{5\text{ ft}}{8\text{ ft}}=\frac{x}{32\text{ ft}} \\ \text{Simplify and rearrange} \\ x=(5(32))/(8) \\ \text{Calculate} \\ x=20\text{ ft} \end{gathered}`

Therefore ,the height of the tree is 20 ft.