[tex]\huge\boxed{19\ \text{inches}}[/tex]
First, find the scale factor by dividing the first building's real-life height by its model height.
[tex]\frac{600}{30}=\frac{60}{3}=20[/tex]
Now, we'll write an equation to find the model height of the second building.
[tex]r=20m[/tex]
Here is an equation where [tex]r[/tex] represents the real-life height of a building, [tex]20[/tex] represents the scale factor, and [tex]m[/tex] represents the model height of the same building.
Fill in the information we already know.
[tex]380=20m[/tex]
Divide both sides by [tex]20[/tex].
[tex]\frac{380}{20} = \frac{20m}{20}[/tex]
[tex]\large{\boxed{19}}=m[/tex]
So, the model height of the second building is [tex]19[/tex] inches.
