Distance in early Egyptian art is represented by relative height: whatever is closest is in the lowest portion of the picture. Highest is farther away. This is similar in idea to the Oriental example, except the Oriental technique is more realistic.
In fairness to this piece of art, there's a story being told here. It's told in a linear sequence much like comic strips of today are: the picture that comes before the next came first in time. Of course you have to know what direction it's meant to be read in. In the West, it's left to right.
Storytelling or not, in Egytian art where distance needs to be conveyed, the technique used to display distamce or depth would be exactly the same as in this picture: the more distant, the higher vertical placement in the composition.
Back to where I found this link in Lesson 8
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