Question

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 18 feet long and Ariadne's shadow is 15 feet long. If Dixon is 6 feet tall, how tall is Ariadne?

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Answer 1

Answer: 5 feet tall

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Step-by-step explanation:

We have a proportion in the form:

A/B = C/D

where,

• A = length of Dixon's shadow
• B = Dixon's height
• C = length of Ariadne's shadow
• D = Ariadne's height

Each is measured in feet.

In this case,

• A = 18
• B = 6
• C = 15
• D = unknown

Let's solve for D.

A/B = C/D

18/6 = 15/D

3 = 15/D

3D = 15

D = 15/3

D = 5

Ariadne is 5 feet tall.