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 proportion

Let \( x \) be Dixon's height. The ratio of height to shadow length should be equal for both. So, \(\frac{5}{15}=\frac{x}{18}\).

Step2: Solve for \( x \)

Cross - multiply: \( 15x = 5\times18 \).
Simplify right side: \( 15x = 90 \).
Divide both sides by 15: \( x=\frac{90}{15}=6 \).

Answer:

6