If you measure a distance of 8cm on a 1:50000 map,what will be the real distance on the ground in kilometers and meters ?

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To calculate the real distance on the ground in kilometers and meters from a measurement on a map, you need to use the scale of the map.

The scale given in the problem is 1:50000, which means that one unit on the map represents 50000 units in reality.

In this case, the unit on the map is centimeters (cm), and we want to find the real distance in kilometers (km) and meters (m).

First, convert the measurement on the map to the same unit as the real distance, which is kilometers.

Given that one unit on the map represents 50000 units in reality, we can set up a proportion to find the conversion factor:

1 cm on the map / 50000 cm in reality = x km on the map / 1 km in reality

Cross-multiply and solve for x:

1 cm × 1 km = 50000 cm × x km
1 km = 50000x km
x = 1 km / 50000 km
x = 0.00002 km (approximately)

So, 1 cm on the map represents 0.00002 km in reality.

To find the real distance in kilometers, multiply the measurement on the map by the conversion factor:

Real distance in km = Measurement on the map in cm × Conversion factor
Real distance in km = 8 cm × 0.00002 km/cm
Real distance in km = 0.00016 km

Therefore, the real distance on the ground is approximately 0.00016 km or 0.16 meters.

(8 * 50,000)/1,000 = _______ km