Question

Their mother measures their shadows.Dixon's shadow is 9 feet long and Ariadne's shadow is feet long. If Dixon is 6 feet tall, how tall is Ariadne?

Answer 1

Dixon is 6 feet tall,  Ariadne is 4 feet tall by proportion.

What in mathematics is a proportion?

• A proportion is an equation that sets two ratios at the same value.
• For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls. 0.25 are male (by dividing 1 by 4)

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.

Learn more about proportion

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The complete question is -

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?