Question

1. a tree outside ellies building casts a 121 - ft shadow. ellie casts a 5.5 ft shadow. if ellie is 5 ft tall, how tall is the tree?

Explanation:

Step1: Set up proportion

Let \(h\) be the height of the tree. The proportion is \(\frac{h}{121}=\frac{5}{5.5}\)

Step2: Solve for \(h\)

Cross - multiply: \(5.5h = 121\times5\)

\(5.5h=605\)

Divide both sides by \(5.5\): \(h=\frac{605}{5.5}\)

\(h = 110\)

Answer:

The tree is \(110\) ft tall.