Hello!
[tex]\large\boxed{36 ft}[/tex]
We can use proportions to solve for the actual height of his house. Remember, we must convert from inches to feet:
1 foot = 12 inches
45 ×12 = 540 inches
Set up a proportion:
[tex]\frac{2.5}{540} = \frac{2}{x}[/tex]
Cross multiply:
2.5 · x = 540 · 2
2.5x = 1080
Divide both sides by 2.5:
x = 432 inches
Convert back to feet:
432 / 12 = 36 feet