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?
(Fully question above)

Answer 1

Answer:

ariadne is 5 feet tall

Step-by-step explanation:

dixon is 6 feet tall 3 x 6 is 18

3 x 5 = 15

therefore  Ariadne is 5 feet tall

Answer 2

Answer:

5 ft

Step-by-step explanation:

Look at the picture.

We have two similar triangles.

The corresponding sides are in proportion.

Therefore we have the equation:

$\dfrac{x}{6}=\dfrac{15}{18}$            cross multiply

$18x=(6)(15)$

$18x=90$          divide both sides by 18

$x=5$