Answer:
\(2\frac{13}{28}\) feet.
Step-by-step 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.
\(\frac{\text{Shadow}}{\text{Actual length}}=\frac{11\frac{1}{2}}{28}\)
\(\frac{\text{Shadow}}{\text{Actual length}}=\frac{\frac{23}{2}}{28}\)
\(\frac{\text{Shadow}}{\text{Actual length}}=\frac{23}{28*2}\)
\(\frac{\text{Shadow}}{\text{Actual length}}=\frac{23}{56}\)
Substitute Kurt's actual height.
\(\frac{\text{Shadow}}{6}=\frac{23}{56}\)
\(\frac{\text{Shadow}}{6}*6=\frac{23}{56}*6\)
\(\text{Shadow}=\frac{23}{28}*3\)
\(\text{Shadow}=\frac{69}{28}\)
\(\text{Shadow}=2\frac{13}{28}\)
Therefore, Kurt's shadow is \(2\frac{13}{28}\) feet.
