'Upper' in the Bible

Behold, six men came from the direction of the upper gate which faces north, each with his shattering weapon in his hand; and among them was a certain man clothed in linen with a writing case at his loins. And they went in and stood beside the bronze altar.

Now the upper chambers were smaller because the galleries took more space away from them than from the lower and middle ones in the building.

For they were in three stories and had no pillars like the pillars of the courts; therefore the upper chambers were set back from the ground upward, more than the lower and middle ones.