A map scale is 1:1500 , if the distance on the map is 500cm . What is the actual distance on the ground in km
To find the actual distance on the ground, we need to use the scale and the distance on the map to create a proportion:
1 km (100,000 cm) : 1,500 units on the map = x km : 500 cm
Cross-multiplying and solving for x, we get:
x = (500 cm x 1 km x 1,500) / (100,000 cm)
x = 7.5 km
Therefore, the actual distance on the ground is 7.5 km.
To find the actual distance on the ground, we need to convert the distance on the map from centimeters to kilometers using the map scale.
First, we convert the distance on the map from centimeters to meters by dividing by 100:
500 cm ÷ 100 = 5 meters
Next, we use the map scale to convert the distance in meters to kilometers. The map scale of 1:1500 means that every 1 unit on the map represents 1500 units on the ground. In this case, it means that 1 meter on the map is equivalent to 1500 meters on the ground:
5 meters × 1500 = 7500 meters
Finally, we convert the distance in meters to kilometers by dividing by 1000:
7500 meters ÷ 1000 = 7.5 kilometers
Therefore, the actual distance on the ground is 7.5 kilometers.