Given:
Height of tree = 24 feet
Shadow of tree = 12 feet long
Height of Brad = 6 feet
For us to be able to determine how long Brad's shadow is, we will be using ratio and proportion.
We get:
[tex]\text{ }\frac{\text{ Length of Brad's shadow}}{\text{ Height of Brad}}\text{ = }\frac{\text{ Length of the tree's shadow}}{\text{ Height of tree}}[/tex]
Let,
x = Length of Brad's shadow
[tex]\text{ }\frac{\text{ x}}{\text{ 6}}\text{ = }\frac{12}{24}[/tex][tex]\text{ x = \lparen}\frac{12}{24})(6)[/tex][tex]\text{ x = 3 feet}[/tex]
Therefore, Brad's shadow is 3 feet long.
