Answer:
The actual height of the building is 8 feet.
Step-by-step explanation:
The height of the scale model building is 15 inches.
Scale:
5 in = 32 in actual.
We can use the proportion.
Let "x" the actual height of the building.
Scale Actual
5 32
15 x
\(\frac{5}{15} = \frac{32}{x}\)
Cross multiplying, we get
5 times x = 15 times 32
5x = 480
Dividing both sides by 5, we get
\(\frac{5x}{5} = \frac{480}{5}\)
x = 96 inches
Now we have to convert inches to feet
1 feet = 12 inches
To convert inches to feet, we need to divide 96 by 12
So, the height of the building is = \(\frac{96}{12} = 8 feet\)
