
Mark S. answered 10/04/21
B.A./M.A. Russian Language, linguistics minor, 25+ years teaching exp
The question is asking you to identify the relationship between two sounds [s] and [ʃ], which are described as in "complementary distribution."
Complementary distribution means that the two sounds occur as complements: one occurs in one set of circumstances, the other occurs in all the other circumstances. Looking at the words provided we can divide the occurrences into two groups:
[s] occurs in
- [kesa]
- [osoi]
- [ʃimasu]
- [kusaru]
- [ase]
- [miso]
[ʃ] occurs in
- [aʃita]
- [ʃimasu]
- [muʃi]
- [toʃi]
If you notice, [ʃ] only appears in front of [i], whereas [s] appears before every other vowel: [a], [e], [o], [u].
To answer the question, you need to decide whether it is easier to create a rule wherein [s] > [ʃ] before [i] or to create a rule wherein [ʃ] > [s] before [a], [e], [o], [u].
One of those is far likelier—and far easier to explain phonologically—than the other.