To find the actual distance corresponding to the map distance, we can use the scale provided.
The scale is 1 cm : 11.5 km, which means that 1 cm on the map represents 11.5 km in reality.
Given that the distance between the two cities on the map is 5.5 cm, we can calculate the actual distance by multiplying the map distance by the scale factor:
\[ \text{Actual distance} = \text{Map distance} \times \text{Scale factor} \]
\[ \text{Actual distance} = 5.5 , \text{cm} \times 11.5 , \text{km/cm} \]
Now, performing the multiplication:
\[ \text{Actual distance} = 5.5 \times 11.5 = 63.25 , \text{km} \]
Rounding this to the nearest tenth gives us:
\[ \text{Actual distance} \approx 63.3 , \text{km} \]
Therefore, the actual distance corresponding to the map distance is 63.3 km.