Question

Solve the problem, using the given information. Round your answer to the nearest TENTH.

Answer 1

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:

`\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}}`

Let,

x = Length of Brad's shadow

`\text{ }\frac{\text{ x}}{\text{ 6}}\text{ = }(12)/(24)`
`\text{ x = \lparen}(12)/(24))(6)`
`\text{ x = 3 feet}`

Therefore, Brad's shadow is 3 feet long.