Rekha faces towards North, then turns to her right and walks 20 meters. She then turns to her left and walks 30 meters. Next she moves 20 meters to her right. She turns to her right again and walks 55 meters. Finally she turns to the right and moves 45 meters. In which direction is she now from her starting point?

South-West

The correct answer is Option (4) → South-West

Step 1: Start at origin

• Rekha faces North initially.
• We will use a coordinate system: North = +y, East = +x.

Step 2: Track her movements

1. Faces North, turns right (East), walks 20 m
   $(0,0) \to (20,0)$
2. Turns left (North), walks 30 m
   $(20,0) \to (20,30)$
3. Turns right (East), walks 20 m
   $(20,30) \to (40,30)$
4. Turns right (South), walks 55 m
   $(40,30) \to (40,-25)$
5. Turns right (West), walks 45 m
   $(40,-25) \to (-5,-25)$

Step 3: Find direction from start

• Starting point: (0,0)
• Current position: (-5,-25)

x = -5 → West, y = -25 → South

So, direction = South-West