Question

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

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.

$\frac{600}{30}=\frac{60}{3}=20$

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 $20$.

$\frac{380}{20} = \frac{20m}{20}$

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

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