if two place on the ground that are located 5 N and 10N ARE SHOWN 10cm apart on given map. what is the scale of the map?
1 degree of latitude is 60km, so
10cm:300km = 10:30,000,000 = 1:3,000,000
To determine the scale of the map, you can use the formula:
Scale = Actual Distance / Map Distance
In this case, the actual distance between the two places on the ground is 10N - 5N = 5N.
The map distance between the two places is given as 10 cm.
Using the formula, the scale of the map can be calculated as:
Scale = 5N / 10 cm
To ensure the units are consistent, we convert 5N to cm:
1N = 1 cm
Therefore, 5N = 5 cm.
Now we can calculate the scale:
Scale = 5 cm / 10 cm
Simplifying this equation, we get:
Scale = 0.5
So, the scale of the map is 0.5, which means 1 cm on the map represents 0.5 cm in the actual distance.
To determine the scale of the map, you need to calculate the ratio between the distances on the map and the corresponding distances on the ground. In this case, we know that two places on the ground located 5 N and 10 N are shown as 10 cm apart on the map.
First, let's write down the given information:
Distance on the map: 10 cm
Distance on the ground: 5 N to 10 N
To calculate the scale, we'll use the formula:
Scale = Distance on the map / Distance on the ground
In this case, the scale would be:
Scale = 10 cm / (10 N - 5 N)
Now, let's simplify the equation:
Scale = 10 cm / 5 N
Finally, we can calculate the scale:
Scale = 2 cm/N
Therefore, the scale of the map is 2 cm/N. This means that every 2 centimeters on the map represents 1 unit of distance on the ground (in this case, 1 N).