The lion and eagle are respected rulers in their worlds. Lions often appeared in ancient art and buildings. Nebuchadnezzar and Babylon are shown as a lion and an eagle attacking Edom (Jeremiah 49:19, 22).
it was … given the mind of a man: Nebuchadnezzar had the mind of a beast (Daniel 4:16, 32–33), but he was restored and learned to honor the Most High God (4:34–37).