Question

R walks 20 m North. Then he turns right and walks 30 m. Then he turns right and walks 35 m. Then he turns left and walks 15 m. Then he again turns left and walks 15 m. Determine that finally in which direction and how many metres away is he from his original position ?

• A. 30 metres West
• B. 15 metres West
• C. 45 metres East
• D. 45 metres West
• E. 30 metres East

Hint:

Use coordinate geometry or draw a path. Keep track of direction changes: Right = 90° clockwise, Left = 90° counterclockwise.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
Direction sense problem. Track the North-South (Y) and East-West (X) displacements independently.
Step 2: Key Formula or Approach:
Displacement North = Positive Y, South = Negative Y.
Displacement East = Positive X, West = Negative X.
Step 3: Detailed Explanation:
1. Start at (0,0).
2. 20m North \(\to\) (0, 20).
3. Turn Right (East) 30m \(\to\) (30, 20).
4. Turn Right (South) 35m \(\to\) (30, 20 - 35) = (30, -15).
5. Turn Left (East) 15m \(\to\) (30 + 15, -15) = (45, -15).
6. Turn Left (North) 15m \(\to\) (45, -15 + 15) = (45, 0).
Final coordinates: (45, 0). This is 45 metres East of the starting point.
Step 4: Final Answer:
The person is 45 metres East from his original position.