Explanation:

Let Rahul start from point A and travels 10 km towards East to reach point B, then he takes left turn and travels 3 km towards north point C. He then takes right turn and travels 5 km and reaches D, he again takes right turn and travels 8 km south to reach point E and finally takes right turn one more time and travels 3 km to stop at point F.

Thus, distance (AF)² = (AG)² + (FG)²

(AF)² = (12)² + (5)²

(AF)² = 144 + 25 = 169

AF = √169 = 13

Rahul is 13 km towards South-East from his starting position.