If Two places that are found at 1°N and2°N latitude are 5cm apart on amap what is the areal scale of the map
1 cm 2to 400 km2
geograpy
Sra page 35
How do you get the answer
To determine the areal scale of a map, you need to know the distance on the map and the corresponding distance in reality. In this case, you are given that two places, located at 1°N and 2°N latitude, are 5cm apart on the map.
To calculate the areal scale, we can use the fact that one degree of latitude is approximately equal to 111 km. Since the two places are 1° apart, the actual distance between them can be calculated as follows:
Actual distance = 1° * 111 km/° = 111 km
Now we have the actual distance between the two places, which is 111 km, and the distance on the map, which is 5 cm.
To find the areal scale, divide the actual distance by the distance on the map:
Areal scale = Actual distance / Distance on the map
Areal scale = 111 km / 5 cm
However, before proceeding, it's essential to have consistent units. We need to convert both the actual distance and the distance on the map to the same unit. Let's convert the actual distance to centimeters:
111 km = 111,000 meters (1 km = 1,000 meters)
111,000 meters = 11,100,000 centimeters (1 meter = 100 centimeters)
Now we can calculate the areal scale:
Areal scale = 11,100,000 cm / 5 cm = 2,220,000
Therefore, the areal scale of the map is 2,220,000, which means that one unit on the map represents 2,220,000 units in reality.