Finding the height from someone’s shadow

Question

If a 6-foot man casts a shadow 3 ½ feet long. His daughter casts a shadow 14 inches long. How tall is his daughter?

Answer 1

6/3.5=1.714.....

h/1.1666.....=1.714........

1.1666*1.714=2'

Answer 2

This question can be solved using ratios.

Specifically, the ration would be height / shadow length.

Note that the units used are both inches and feet.

It is best to just stick with one unit, so let's choose inches.

6 feet = 72 inches

3 1/2 feet = 42 inches

So, we have

72 / 42 = h / 14

Since we have a fraction equal to another fraction, we can solve using cross multiplication.

72 · 14 = 42 · h

1008 = 42h

h = 24

Therefore, the daughter's height is 24 inches, or 2 feet.

*Please feel free to ask me any question for clarification.