Two monuments

The distance between two historical monuments on a map with a scale of 1: 500000 is 48 mm. Find the actual distance between these monuments in km.

Correct result:

x =  24 km

Solution:

M=500000 a=48 mmm=48/1000 m=0.048 m b=akm=a/1000 km=0.048/1000 km=5.0105 km  x=M b=500000 0=24 kmM=500000 \ \\ a=48 \ mm \rightarrow m=48 / 1000 \ m=0.048 \ m \ \\ b=a \rightarrow km=a / 1000 \ km=0.048 / 1000 \ km=5.0 \cdot 10^{-5} \ km \ \\ \ \\ x=M \cdot \ b=500000 \cdot \ 0=24 \ \text{km}



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