# Scale of the map

The distance between two cities is actually 30 km and the map is 6 cm. What is the scale of the map?

Result

M =  500000

#### Solution:

$a = 6 \ cm = 6 / 100 \ m = 0.06 \ m \ \\ b = 30 \ km = 30 \cdot \ 1000 \ m = 30000 \ m \ \\ \ \\ M = \dfrac{ b }{ a } = \dfrac{ 30000 }{ 0.06 } = 500000= 500000 = 5.000000\cdot 10^{ 5 } \ \\ \ \\ M 1:500000$

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