if two place on the ground that are located 5%north and 10% north are shown 10cm apart on a give map,what is the scale of the map?
To determine the scale of the map, we need to calculate the ratio between the distance on the map and the actual distance on the ground.
Given that the two places on the ground are located 5% north and 10% north and are shown 10cm apart on the map, we can express this as:
Actual distance = 10 cm
First, we need to calculate the actual distance between the two places on the ground. Since one place is located 5% north and the other is located 10% north, we can calculate the difference in their locations:
Difference in location = 10% - 5% = 5%
Next, we can calculate the actual distance based on the given information:
Actual distance = Difference in location * 10 cm
= 5% * 10 cm
= 0.05 * 10 cm
= 0.5 cm
Now, we can calculate the scale of the map by comparing the actual distance to the distance on the map:
Scale = Distance on map / Actual distance
Given that the distance on the map is 10 cm and the actual distance is 0.5 cm, we can calculate the scale:
Scale = 10 cm / 0.5 cm
= 20
Therefore, the scale of the map is 1:20. This means that 1 cm on the map represents 20 cm on the ground.