First, let's calculate the total height of the building. Each of the 4 stories is 15 feet high, so:
\[ \text{Total height} = 4 \times 15 \text{ feet} = 60 \text{ feet} \]
Next, we need to convert the height of the building in inches to feet since the scale drawing height is given in inches. The height of the building in the scale drawing is 5 inches. We also need to convert 5 inches into feet:
\[ 5 \text{ inches} = \frac{5}{12} \text{ feet} \]
Now, we can establish the scale. Scale is expressed as a ratio of the drawing size to the actual size.
The scale can be calculated as:
\[ \text{Scale} = \frac{\text{Drawing height}}{\text{Actual height}} = \frac{\frac{5}{12} \text{ feet}}{60 \text{ feet}} = \frac{5}{12} \div 60 = \frac{5}{12} \times \frac{1}{60} = \frac{5}{720} \]
To simplify:
\[ \frac{5}{720} = \frac{1}{144} \]
Thus, the correct scale is:
\[ \text{1:144} \]
So the answer is 1:144.