Final answer:
By analyzing the turns and directions taken by the man, he ends up in a direction of South-West from his starting position. He initially moves south, takes a right turn to head west, and then a left turn resulting in an additional southern movement, placing him southwest of his starting point.
Step-by-step explanation:
The question asks us to determine the final position of a man who starts walking south and then makes turns to reach a new position. We track his path as he walks 5 km south, turns right to walk 3 km, and turns left to walk another 5 km. The right turn from heading south would have him facing west, and a subsequent left turn from west would face him south again. Thus, the 3 km walk has him facing west, after which he turns left and walks 5 km southward. His final position would form a right triangle with the starting point, with the legs of the triangle being the distance he moved west (3 km) and south (an additional 5 km) from the original southern point.
Using the Pythagorean theorem, we can find that the man's final displacement is the hypotenuse of this triangle. However, the question is asking specifically for the direction relative to the starting point, not the distance.
By simply analyzing the directions, we can see that the final direction from the starting position is directly towards the southwest since he has moved south and then west with respect to his original direction. So, the answer to the question is (d) South-West.