A map has a scale of 1 cm : 11 km. Two cities are 3.4 cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?
x/3.4 = 11/1
x = ?
Is there an answer to this?
To find the actual distance corresponding to the map distance, we need to use the scale provided. The scale is 1 cm : 11 km.
First, we need to determine the distance represented by 1 cm on the map. We know that 1 cm on the map represents 11 km in reality.
Next, we can find the actual distance corresponding to the map distance of 3.4 cm by using a proportion.
Let x be the actual distance in kilometers.
According to the proportion, we have:
1 cm on the map / 11 km in reality = 3.4 cm on the map / x km in reality
Using cross multiplication, we get:
1 cm * x km in reality = 3.4 cm * 11 km in reality
Simplifying, we have:
x = (3.4 cm * 11 km) / 1 cm
x = 37.4 km
Therefore, to the nearest tenth of a kilometer, the actual distance corresponding to the map distance of 3.4 cm is 37.4 km.