Question

A 600-ft tall building is represented by a 30-in. tall model.

Using the same scale, what would be the model size of a
380-ft tall building?

Answer 1

`\huge\boxed{19\ \text{inches}}`

First, find the scale factor by dividing the first building's real-life height by its model height.

`(600)/(30)=(60)/(3)=20`

Now, we'll write an equation to find the model height of the second building.

`r=20m`

Here is an equation where
`r` represents the real-life height of a building,
`20` represents the scale factor, and
`m` represents the model height of the same building.

Fill in the information we already know.

`380=20m`

Divide both sides by
`20`.

`(380)/(20) = (20m)/(20)`

`\large{\boxed{19}}=m`

So, the model height of the second building is
`19` inches.