A person starts walking in the North Direction. After walking for 10 km, he turns right and walks for 5 km, then again he turns right and walks for 5 km, and then again he turns right, and walks for 5 km. In which direction is he from his starting point?
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Let's solve this step by step walking problem. A person starts at the origin and walks in different directions. We need to track their position and find their final direction from the starting point.
In the first step, the person walks 10 kilometers North from the starting point at coordinates zero, zero. This takes them to position zero, ten on our coordinate system.
In step 2, the person turns right to face East and walks 5 kilometers, reaching position 5, 10. Then in step 3, they turn right again to face South and walk another 5 kilometers, reaching position 5, 5.
In the final step, the person turns right to face West and walks 5 kilometers, reaching the final position at coordinates zero, five. Comparing the starting point at zero, zero with the final position at zero, five, we can see that the person is directly North of their starting point.
To summarize our solution: The person walked in a rectangular pattern, starting at the origin and ending at position zero, five. Since the final position has the same x-coordinate but a higher y-coordinate than the starting point, the person is directly North of where they began.