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
[tex]\begin{gathered} \frac{5\text{ ft}}{8\text{ ft}}=\frac{x}{32\text{ ft}} \\ \text{Simplify and rearrange} \\ x=\frac{5(32)}{8} \\ \text{Calculate} \\ x=20\text{ ft} \end{gathered}[/tex]
Therefore ,the height of the tree is 20 ft.
