Question

on a sunny day, a tree casts a shadow that is 1 feet long. a 4.3 foot tall boy standing next to the tree casts a shadow that is 0.6 feet long. how tall is the tree? round your answer to the nearest hundredths. feet

Explanation:

Step1: Set up proportion

Let \(h\) be the height of the tree. Using the proportion \(\frac{\text{height}}{\text{shadow length}}\), we have \(\frac{h}{1}=\frac{4.3}{0.6}\).

Step2: Solve for \(h\)

Cross - multiply: \(h=\frac{4.3\times1}{0.6}\). Calculate \(h=\frac{4.3}{0.6}\approx7.17\).

Answer:

\(7.17\)