Albert Barnes Commentary Acts 10:25

"And when it came to pass that Peter entered, Cornelius met him, and fell down at his feet, and worshipped him." — Acts 10:25 (ASV)

Fell down at his feet. This was an act of profound regard for him as an ambassador of God. In Eastern countries, it was customary to prostrate themselves at length on the ground before people of rank and honor.

Worshipped him. This does not mean religious homage, but civil respect—the homage or profound regard that was due to an honored person (see Barnes on Matthew 2:2). The term "worshipped him" in this context is to be understood as "did obeisance."