Final answer:
The height of the scale model of the Texas Capitol, using a scale where 2 inches represent 8 feet and the actual height being 12 feet, is 3 inches.
Step-by-step explanation:
Sal and Zack are using a scale in which 2 inches represents 8 feet to model the height of the Texas Capitol, which is actually 12 feet tall.
To figure out the height of the scale model in inches, we need to apply the given scale factor.
First, we calculate the scale factor from the provided scale:
Scale factor = 2 inches / 8 feet
We convert the actual height into the same units to be consistent:
12 feet (there are 12 inches in 1 foot) = 12 feet * 12 inches/foot = 144 inches
Next, we apply the scale factor to determine the height of the Texas Capitol in the scale model:
Height of scale model = (2 inches / 8 feet) * 144 inches = (2 inches / 96 inches) * 144 inches = (1/48) * 144 inches = 3 inches
Therefore, the height of the scale model of the Texas Capitol is 3 inches.