Final answer:
The height of the scale drawing is 3.2 inches.
Step-by-step explanation:
To find the height of the scale drawing, we need to use the given scale and the actual height of the building. The scale is 1 inch = 15 feet, and the actual height of the building is 48 feet. We can set up a proportion to solve for the height of the scale drawing:
Scale height / Scale distance = Actual height / Actual distance
Let x represent the height of the scale drawing. Plugging in the values, we get:
x / 1 inch = 48 feet / 15 feet
Cross multiplying, we find:
x = 48 feet * 1 inch / 15 feet
Simplifying the expression, the height of the scale drawing is 3.2 inches.