The ground distance beetwen two places are 100km .if the distance is represented by 5cm on a map.what is the scale of the map?
scale is usually denoted by
unit on map : unit in real world
so ...
5 cm : 100 km
= 5 cm : 100,000 m
= 5 cm : 10,000,000 cm
= 1 : 2,000,000
Scale = 100km/5cm = 20km/cm.
or 1cm = 20 km.
The ground distance beetwen two places are 100km .if the distance is represented by 5cm on a map.what is the scale of the map?
Yes
1cm to 20 km
5cm:100km
= 5cm:100,000m
= 5cm:10,000,000cm
= 1:2,000,000
geography
1cm to 20km
5cm:100km
= 5cm:100,000m
= 5cm:10,000,000cm
= 1:2,000,000
To find the scale of the map, we need to compare the distance on the map to the actual distance. In this case, the distance on the map is given as 5 cm and the actual ground distance is given as 100 km.
We can use the following formula to calculate the scale of the map:
Scale = Actual Distance / Map Distance
Substituting the given values, we get:
Scale = 100 km / 5 cm
Before we proceed, let's ensure that the units are consistent. We need to convert the kilometers to centimeters to match the unit on the map.
1 km = 100,000 cm (since 1 km equals 1000 meters, and 1 meter equals 100 centimeters)
Now we can calculate the scale:
Scale = (100,000 cm) / (5 cm)
= 20,000
Therefore, the scale of the map is 1:20,000. This means that 1 cm on the map represents 20,000 cm (or 200 meters) in actual distance.