Answered

Dixon and his little sister Ariadne stand next to each other on the playground on a sunny afternoon. Their mother measures their shadows. Ariadne's shadow is 15 feet long and Dixon's shadow is 18 feet long. If Ariadne is 5 feet tall, how tall is Dixon?

Verified Answer :

ok so what we see is if adriadne is 5 feet tall her shadow goes *3 that means 15 feet tall to know dixons shadow you divide 18/3 which is 6. he's 6ft tall

MrRoyal

Dixon's and Ariadne's height and the heights of their shadows are in equivalent ratios. Dixon is 6 feet tall

Using the following representations:

\(D \to\) Dixon

\(A \to\) Ariadne

The measure of their shadows is:

\(A_s =15\)

\(D_s =18\)

Ariadne's height is:

\(A = 5\)

To calculate Dixon's height, we use the following equivalent ratios

\(A:D = A_s:D_s\)

So, we have:

\(5:D = 15:18\)

Express as fraction

\(\frac{D}{5} = \frac{18}{15}\)

Multiply both sides by 5

\(5 \times \frac{D}{5} = \frac{18}{15} \times 5\)

\(D = \frac{18}{3}\)

\(D =6\)

Hence, Dixon is 6 feet tall.

Read more about equivalent ratios at:

https://brainly.com/question/8345267

Related Questions