To determine the scale factor that Leo used to create the photograph from the original pentagon, we can use the formula:
\[ \text{Scale Factor} = \frac{\text{New Size}}{\text{Original Size}} \]
In this case, the original side length of the pentagon is 3 centimeters, and the new side length after enlargement is 8 centimeters. Plugging these values into the formula gives:
\[ \text{Scale Factor} = \frac{8 \text{ cm}}{3 \text{ cm}} = \frac{8}{3} \]
Therefore, the scale factor used by Leo to enlarge the photograph is:
\[ \frac{8}{3} \]
Looking at the provided responses, the correct answer is:
\(\frac{8}{3}\)