Question

A 28 feet tree casts a shadow that is 11 1/2 feet long. If Kurt is 6 feet tall. What is the length of his shadow

Answer 1

answer in image..........

Answer 2

`2(13)/(28)` feet.

Explanation:

We have been given that a 28 feet tree casts a shadow that is 11 1/2 feet long. Kurt is 6 feet tall. We are asked to find length of his shadow.

We will use proportions to solve our given problem.

`\frac{\text{Shadow}}{\text{Actual length}}=(11(1)/(2))/(28)`

`\frac{\text{Shadow}}{\text{Actual length}}=((23)/(2))/(28)`

`\frac{\text{Shadow}}{\text{Actual length}}=(23)/(28*2)`

`\frac{\text{Shadow}}{\text{Actual length}}=(23)/(56)`

Substitute Kurt's actual height.

`\frac{\text{Shadow}}{6}=(23)/(56)`

`\frac{\text{Shadow}}{6}*6=(23)/(56)*6`

`\text{Shadow}=(23)/(28)*3`

`\text{Shadow}=(69)/(28)`

`\text{Shadow}=2(13)/(28)`

Therefore, Kurt's shadow is
`2(13)/(28)` feet.