To find the scale factor of Robert's drawing, we need to compare the dimensions of the drawing to the actual dimensions of the house.
The given scale states that 10 inches on the drawing corresponds to 5 feet in reality.
First, we need to convert feet to inches, since we want both parts of the ratio in the same units. We know that 1 foot = 12 inches.
So, 5 feet in inches is:
\[ 5 \text{ feet} \times 12 \text{ inches/foot} = 60 \text{ inches} \]
Now we have:
- The drawing: 10 inches
- The actual house: 60 inches
Next, we can find the scale factor by forming a ratio of the drawing measurement to the actual measurement:
\[ \text{Scale Factor} = \frac{\text{Drawing}}{\text{Actual}} = \frac{10 \text{ inches}}{60 \text{ inches}} \]
We can simplify this ratio:
\[ \frac{10}{60} = \frac{1}{6} \]
Therefore, the scale factor can be expressed as a ratio:
\[ 1 : 6 \]
Thus, the scale factor of the drawing is \( \boxed{1 : 6} \).
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