Question

dixon and his little sister ariadne stand next to each other on the playground on a sunny afternoon. their mother measures their shadows. ariadnes shadow is 15 feet long and dixons shadow is 18 feet long. if ariadne is 5 feet tall, how tall is dixon? dixon is____feet tall the solution is

Explanation:

Step1: Set up the proportion

Since the ratio of height to shadow length is the same for both, we have \(\frac{\text{Ariadne's height}}{\text{Ariadne's shadow}}=\frac{\text{Dixon's height}}{\text{Dixon's shadow}}\). Let \(x\) be Dixon's height. So \(\frac{5}{15}=\frac{x}{18}\).

Step2: Solve the proportion

Cross - multiply: \(15x = 5\times18\). Then \(15x=90\). Divide both sides by 15: \(x=\frac{90}{15}\).

Answer:

6