A boy facing west walks 25m and then turns 450 in the clockwise direction. In which direction is he facing now?South-WestSouth-EastNorth-WestNorth-East

Break Down the Problem

1. Identify the initial direction.
2. Determine the rotation direction and angle.
3. Calculate the final direction after the turn.

Relevant Concepts

• Directions are specified in a 360-degree format where:
  • North = 0° or 360°
  • East = 90°
  • South = 180°
  • West = 270°
• A clockwise turn means that angles increase.

Analysis and Detail

1. The boy starts facing West (270°).
2. He turns 450° clockwise:
   • Since 450° is greater than 360°, we subtract 360° from 450° to find the equivalent angle: $450^\circ - 360^\circ = 90^\circ$
   • Adding this angle to his original direction: $270^\circ + 90^\circ = 360^\circ$
   • 360° corresponds to North, as it wraps around the compass.

Verify and Summarize

• After a 450° clockwise turn from West, he indeed ends up facing North.

Final Answer

The boy is now facing North.