Question

Mt. Hood's peak reaches 11,240 feet high. A model of the mountain is 60 inches tall. What is the ratio of the height of the model to the height of the actual mountain?

Answer 1

Height of the mountain

`=11,240` feet.

Height of model

`=60` inch

Ratio of model's height to height of mountain

`=60\:inch 11,240\:ft`

We convert to same units.

`1\:foot=12\:inch`

`\Rightarrow 5\:ft=60\:inch`

Therefore our ratio becomes,

`=5ft :11,240ft`

We can now divide each term in the ratio by 5 to get,

`1:2248`

Therefore there ratio of the model's height to that of mountain is

`1:2248`