To find the actual distance on the ground, you can use the scale given on the map. The scale indicates that 1 cm on the map represents 100 cm in reality.
If you measure a distance of 5 cm on the map, you can calculate the actual distance as follows:
\[ \text{Actual Distance} = \text{Distance on Map} \times \text{Scale Factor} \]
\[ \text{Actual Distance} = 5 , \text{cm} \times 100 , \text{cm/cm} \]
\[ \text{Actual Distance} = 500 , \text{cm} \]
So, the actual distance on the ground is 500 cm.