That all depends what time of day you see it in the east.
If it's rising in the east within a few hours before the sun, it's a waning crescent.
If it's rising in the east around Noon, it's at First Quarter, and appears half illuminated.
If it's rising in the east just as the sun is setting in the west, then it's full.
If it's rising in the east around midnight, then it's at Last Quarter, and is half illuminated.
If the water is to the east of you and you watch at the right time, you can see the moon (and the sun too) rise out of the water. If the water is to the west of you and you watch at the right time, you can see the moon (and the sun too) set into the water.
Venus has no moon and evidences retrograde rotation from east to west (orbits "upside down", rotating the opposite direction to its orbit) - such that a Venusian observer might see the Sun rise in the west, and set in the east.
Known as "First Quarter". The moon appears half-illuminated. If you are in the Northern Hemisphere, it is the half you see to your RIGHT. The moon rises in the east at roughly Noon, and sets in the west at roughly Midnight.
The position of the moon in relation to the sun creates the different phases. Depending on where the moon is in it's orbit around Earth defines how much of the illuminated side we can see from here. When the moon is between Earth and the sun, it's a "new" moon and we can't see it - the sun's glare blocks it out, UNLESS it eclipses the sun. As it moves east, away from the sun, it first appears as a thin crescent until it moves behind Earth, which is when it appears full - Earth is now between the moon and the sun. Then it continues moving east and gets smaller or "wanes" until it disappears into the sun's glare again and then becomes a "new" moon.
You can see all three of these. The phase of the moon when it is not visible is called new moon.
The moon rises in the east, just as the sun does. The east sees it first.
The moon can be seen from the east coast and the west coast at the same time but not always.
East
Does the moon rise in the east?
If the water is to the east of you and you watch at the right time, you can see the moon (and the sun too) rise out of the water. If the water is to the west of you and you watch at the right time, you can see the moon (and the sun too) set into the water.
If you see the Moon on the western horizon, it is setting in the sky.Both the moon and the sun RISE IN THE EAST AND SET IN THE WEST.
Both full moon and new moon can be seen at the sunset. But full moon in the east and new moon in the west just after the full sunset.
Venus has no moon and evidences retrograde rotation from east to west (orbits "upside down", rotating the opposite direction to its orbit) - such that a Venusian observer might see the Sun rise in the west, and set in the east.
When the moon is full, it will just be rising in the east as sunset. The full moon is exactly opposite the position of the sun.
This is because Earth rotates towards the East. As a result, the Sun, the Moon, and the stars all seem to rise in the east, and go towards the west.
The Moon always rises in the east, no matter what phase it is in.
The moon roates around the earth from east to west.