The scale

The distance of 15 cm on the map corresponds to a distance of 27 km in reality. What is the scale of the map?

Correct answer:

M =  1:180000

Step-by-step explanation:

$$\begin{gathered} a=27\text{ km}\to \text{ m}=27\cdot 1000\text{ m}=27000\text{ m } \\ b=15\text{ cm}\to \text{ m}=15\mathrm{/}100\text{ m}=0.15\text{ m } \\ M=b\mathrm{/}a=0.15\mathrm{/}27000\approx 0=1:180000 \end{gathered}$$

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