Question

Starting from his house, Varun walks 60 m towards the north. He then takes a right turn and walks 30 m. He then takes a right turn and walks 90 m. Finally, he takes another right turn and walks 30 m. How far and in which direction is Varun now from his house? (All turns are 90 degree turns only)

• A. 25 m, East
• B. 30 m, North
• C. 25 m, South
• D. 30 m, South

Answer 1

Answer:

D. 30 m, South

Varun is now 30 m due South from his house.

Let the starting point (Varun's house) be at the coordinate (0, 0).

1. Walks 60 m North:

   • He moves up along the Y-axis.

   • New position: (0, 60)

2. Turns right (East) and walks 30 m:

   • He moves right along the X-axis.

   • New position: (30, 60)

3. Turns right (South) and walks 90 m:

   • He moves down along the Y-axis ($60 - 90 = -30$).

   • New position: (30, -30)

4. Turns right (West) and walks 30 m:

   • He moves left along the X-axis ($30 - 30 = 0$).

   • Final position: (0, -30)

Final Calculation

• Distance: The distance between the origin (0, 0) and his final position (0, -30) is 30 m.

• Direction: Since his final Y-coordinate is negative, he is directly South of his house.