Questions & Answers about В этом горном городе зимой часто выпадает снег.
Because this phrase means in this mountain city/town, so it expresses location, not motion.
After в, Russian uses:
- Prepositional case for location: в городе = in the city
- Accusative case for motion toward somewhere: в город = into the city
So here:
- в этом = in this
- горном городе = mountain city / city in the mountains
All the words agree in the prepositional singular masculine/neuter form:
- этот → этом
- горный → горном
- город → городе
If the sentence were about movement, you might get something like в этот горный город = to this mountain city.