Question

Raunak walks 20 m Northwards. Then 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. In which direction and how many metres away is he from his original position?

• A. 15 m, West
• B. 30 m, East
• C. 30 m, West
• D. 45 m, East

Hint:

Raunak walks 20 m Northwards. Then 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. In which direction and how many metres away is he from his original position?

Answer 1

The Correct Option is D

Starting at (0,0), with directions: North (y+), South (y-), East (x+), West (x-). 1. Move 20 m North: Position (0, 20). 2. Turn East, move 30 m: Position (30, 20). 3. Turn South, move 35 m: Position (30,-15). 4. Turn East, move 15 m: Position (45,-15). 5. Turn North, move 15 m: Position (45, 0). Final position: (45, 0). This is 45 m East of the origin (0,0). He is 45 m East. This corresponds to option (4).