Dixon and his little sister ariadne stand next to each other on the playground on a sunny afternoon. their mother measures their shadows. dixon's shadow is 9 feet long and ariadne's shadow is 6 feet long. if dixon is 6 feet tall, how tall is ariadne?

We can use the proportion. We already know that Dixon is 6 ft tall and that his shadow is 9 ft long. Also we know that the shadow of his sister is 6 ft long. 6 : x = 9 : 6, or 6 / x = 9 / 6. After that we will cross multiply : 9 * x = 6 * 6, 9 x = 36 , x = 36 : 9, x = 4. Ariadne is 4 feet tall.Hope I helped! :) Cheers!