Answer: Option (b) is the correct answer.
Explanation:
Since, all the given distances are present in different units. So, convert them into same unit.
As there are 1000 meter present in 1 kilometer so, we convert all of them into meter as follows.
[tex]0.007 km \times \frac{1000 m}{1 km}[/tex]
= 7 m
There are 0.01 m present in 1 cm.
So, [tex]0.2 cm \times \frac{0.01 m}{1 cm}[/tex] = 0.002 m
There are 0.001 m present in 1 mm.
So, [tex]30 mm \times \frac{0.001 m}{1 mm}[/tex] = 0.03 m
[tex]580 mm \times \frac{0.001 m}{1 mm}[/tex] = 0.58 m
Thus, we can conclude that out of the given options shortest distance is 0.2 cm.