A map has a scale of 1 cm : 20 km. Two cities are 2.5 cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?
The actual distance corresponding to the map distance can be found by using the scale of 1 cm : 20 km.
Since 1 cm on the map represents 20 km, we need to find out how many kilometers 2.5 cm on the map represents.
This can be calculated by multiplying 2.5 cm by the ratio 20 km/1 cm.
2.5 cm * 20 km/1 cm = 50 km.
So, the actual distance corresponding to the map distance of 2.5 cm is 50 kilometers.
To find the actual distance corresponding to the map, we need to use the scale given. The scale is 1 cm: 20 km.
So, if 1 centimeter on the map represents 20 kilometers in reality, we can calculate the actual distance corresponding to the map distance.
Given that two cities are 2.5 centimeters apart on the map, we can set up a proportion:
1 cm on the map / 20 km in reality = 2.5 cm on the map / x km in reality
Cross-multiplying, we get:
1 cm * x km = 20 km * 2.5 cm
Simplifying, we have:
x = (20 km * 2.5 cm) / 1 cm
x = 50 km / 1 cm
x = 50 km
Therefore, the actual distance corresponding to the map distance of 2.5 cm is 50 kilometers.