Final answer:
To find the actual length of the house from a 1/60 scale model that is 15 inches long, convert inches to feet and multiply by the reciprocal of the scale factor, resulting in an actual length of 75 feet.
Step-by-step explanation:
To determine the actual length of the house when a model's scale factor is 1/60, and the model is 15 inches long, you can employ simple multiplication. First, convert the length of the model into the same units as the desired actual dimension.
Since 1 inch is equivalent to 1/12 of a foot, the model's length in feet is 15 inches × (1 foot / 12 inches) = 1.25 feet. Next, multiply this length by the scale factor's reciprocal to obtain the actual length: 1.25 feet × 60 = 75 feet. Therefore, the actual house length is 75 feet.