A fire-breathing swamp monster is 36 feet tall. When last observed, his shadow was 40 was feet long. Write each ratio of Height of monster to length of shadow and Length of shadow to height of monster?

Oct 27, 2016

$9 : 10 \text{ and } 10 : 9$

Explanation:

When dealing with ratios, the order is important.

Although both ratios use the same numbers, they are changed around.

$\text{ "36 : 40" } \leftarrow$simplify by $\div 4$
$\text{ } 9 : 10$
$\text{ "40 : 36" } \leftarrow$simplify by $\div 4$
$\text{ } 10 : 9$