the scale of a map is 2cm:15km find the actual distance for 2.1cm
2/15 = 2.1 /x
Cross multiply and solve for x.
To find the actual distance for 2.1cm on a map with a scale of 2cm:15km, you can set up a proportion.
The given scale is 2cm:15km, which means that for every 2 centimeters on the map, it represents 15 kilometers in real life.
Let's set up the proportion:
2 cm / 15 km = 2.1 cm / x
To find the value of x (the actual distance), we can cross multiply:
2 cm * x = 15 km * 2.1 cm
Now, solve for x:
2x = 31.5 km·cm
To convert km·cm to kilometers, divide by 1000 (since there are 1000 meters in a kilometer):
2x = 0.0315 km·m
x = 0.0315 km·m / 2
x = 0.01575 km
Therefore, for 2.1cm on the map, the actual distance is approximately 0.01575 kilometers (or 15.75 meters).