You apparently haven't noticed yet . . .
The moon rises in the East, moves across the sky, and sets
in the West, just like the sun and everything else in the sky.
It takes the moon about 12 hours and 25 minutes to go from
rising to setting, and then it rises again about 24 hours and
49 minutes later. So each day, the moon rises about 49 minutes
later than it rose on the previous day.
In order to describe the direction and height of the moon in the sky,
you need to tell the date and the time, and also the latitude on Earth
from which you observed it. And wherever the moon was in the sky
at that time, it was in a noticeably different place 30 minutes later.
Just like the sun.
