Final answer:
The exact scale of the house is 1 inch:150 feet.
Step-by-step explanation:
To find the exact scale of the house, we need to compare the measurements in the scale drawing to the actual measurements. In the scale drawing, the scale is given as 1 inch:15 feet, meaning that 1 inch on the drawing represents 15 feet in reality. Since we have the measurement of the larger drawing, we can set up a proportion to find the actual measurement. Let's call the actual measurement x feet. The proportion would be: 1 inch / 15 feet = 10 inches / x feet. Cross-multiplying and solving for x, we get x = 150 feet. Therefore, the exact scale of the house is 1 inch:150 feet.