Question

A man facing west turns 180 degrees clockwise and then he turns 225 degrees anticlockwise . Which direction is he facing now?

• A. North-East
• B. North-West
• C. South-East
• D. South-West

Hint:

Instead of drawing multiple compasses, simply calculate the net angle:
\(225^{\circ} \text{ anticlockwise} - 180^{\circ} \text{ clockwise} = 45^{\circ} \text{ anticlockwise}\).
A \(45^{\circ}\) anticlockwise turn from West points directly to South-West.

Answer 1

The Correct Option is D

Step 1: Start with the initial direction.
The man is initially facing West.
Step 2: Apply the first turn (180 degrees clockwise).
From West, turning 180 degrees clockwise passes through South and reaches East. He now faces East.
Step 3: Apply the second turn (225 degrees anticlockwise).
From East, turning 225 degrees anticlockwise: 90 degrees reaches North, 180 degrees reaches West, and 225 degrees reaches South-West. He now faces South-West.
\[ \boxed{\text{South-West}} \]