Concept notes: In cartography, the scale of a map is the ratio of a distance on the map to the corresponding distance on the ground. It is used to represent large distances on a smaller, manageable scale. The scale can be expressed in various ways, such as a ratio (1:100,000), a verbal scale (1 inch = 1 mile), or a graphical scale (a line marked with units of measurement). To find the scale, divide the real distance by the map distance.
Explanation: In cartography, the scale of a map is a crucial concept that allows us to understand the relationship between distances on the map and the corresponding distances in the real world. The scale is typically expressed as a ratio, a verbal scale, or a graphical scale.
To determine the scale of a map, we need to know the real-world distance and the corresponding distance on the map. In this case, the real-world distance between Your Vidyalaya and Delhi is 1500 km, and this distance is represented by 15 cm on the map.
The formula to calculate the scale is:
\[ \text{Scale} = \frac{\text{Real Distance}}{\text{Map Distance}} \]
Substituting the given values:
\[ \text{Scale} = \frac{1500 \text{ km}}{15 \text{ cm}} \]
Simplifying the fraction:
\[ \text{Scale} = 100 \text{ km/cm} \]
This means that 1 cm on the map represents 100 km in the real world. Therefore, the scale of the map is 100 km.
It is important to note that the scale is a ratio that helps us to convert distances on the map to real-world distances. For example, if another distance on the map is 5 cm, we can calculate the real-world distance by multiplying 5 cm by the scale of 100 km/cm, which gives us 500 km.
Understanding the scale is essential for accurate map reading and interpretation. It allows us to measure distances, estimate travel times, and plan routes effectively. The scale also helps in comparing different maps and understanding the level of detail provided by each map.
In summary, the scale of the map in this example is 100 km, which means that 1 cm on the map represents 100 km in the real world. This scale is derived from the given real-world distance of 1500 km and the corresponding map distance of 15 cm.