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# 9.A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time (i) the length of the shadow cast by another pole 10 m 50 cm high, (ii) the height of a pole which casts a shadow 5 m long.

Answer :

Given: Scale of 1 cm represents 18 km.So, let x cm be the distance covered in the map for the drives of 72 km on a road.
We can see that this is the case of direct proportion,So we have

$$\frac{1}{x}=\frac{18}{72}$$

$$\Rightarrow 18x= 1\times72$$

$$\Rightarrow x= \frac{ 1 \times72}{18}$$

$$\Rightarrow x=4cm$$

Hence, for 72km of distance we have 4 cm of scale.