The man's resultant vector is facing south of west.
Step-by-step explanation:
To find the direction of the man's resultant vector, we need to determine the direction he is facing after completing both legs of his walk. First, he walks west for 500 feet, which means his initial direction is due west. Then, he turns and walks at an angle of 52° south of west for 371 feet. This means he is facing south of west. To find the resultant vector's direction, we add the initial direction with the direction of the second leg. So, the man's resultant vector is facing south of west.