A man walks 20 meters North. He then turns right and walks 30 meters. He then turns right and walks 35 meters. He then turns left and walks 15 meters. Finally, he turns left and walks 15 meters. In which direction and how far is he from his starting point?
Correct: A
Let the starting point be (0,0).
1. Walks 20 meters North: (0, 20).
2. Turns right (East) and walks 30 meters: (30, 20).
3. Turns right (South) and walks 35 meters: (30, 20-35) = (30, -15).
4. Turns left (East) and walks 15 meters: (30+15, -15) = (45, -15).
5. Turns left (North) and walks 15 meters: (45, -15+15) = (45, 0).
His final position is (45, 0). This means he is 45 meters to the East of his starting point.