Let’s trace the man's path step-by-step.
Step 1: The man starts facing North and walks 10 meters.
He is now 10 meters North of his starting point.
Step 2: He then turns right.
Since he was facing North, turning right means now he faces East.
He walks 5 meters East.
Now, he is 10 meters North and 5 meters East of the starting point.
Step 3: He turns right again.
He was facing East, so now he faces South.
He walks 10 meters South.
So he moves from 10 meters North to back down to his starting latitude.
He is now 5 meters East of his original position, but facing South.
Hence, after all the movements, he is facing South.