After walking due west, turning due south a man is 900m from his turning point and bearing 205degrees from it. Illustrate the journey labelling accurately

Answer 1

To illustrate the journey of the man as described:

1. Starting Point (A): This is where the man begins his journey.
2. Walking Due West (Point B): The man walks straight to the west from Point A to Point B.
3. Turning South (Point C): At Point B, the man turns and walks due south to Point C.

Now, according to the information:

• The distance from Point B (the turning point) to Point C is 900 meters.
• From Point C (the final position), the bearing from Point B is 205 degrees.

Step-by-step Illustration:

1. Draw a horizontal line to represent the man's journey west (from Point A to Point B).
2. From Point B, draw a vertical line downwards (point C), indicating the man turns due south.
3. Ensure you note that he travels 900 meters southward to Point C.

Bearings Explanation:

• Bearing from Point B to Point C at 205 degrees means:
  • Start at Point B, face north (0 degrees).
  • Measure clockwise; this means he is nearly facing southwest (since 205 degrees is more than 180 degrees).

Coordinate Representation:

• If we assign Point A some coordinates (0, 0):
  • Point B would be at (-x, 0) where x is the distance traveled due west.
  • Point C would then be at (-x, -900) since he travels 900 meters south.

Diagram Labels:

1. Point A: Starting Point
2. Point B: Turning Point (West)
3. Point C: Ending Point (South)
4. Mark the distance (900m) between Point B and Point C.
5. Angle/Bearing Annotation: Indicate a bearing of 205° from Point B to Point C.

You can create a simple sketch based on these instructions to visualize the journey accurately. If needed, use a compass rose to indicate the north direction for better clarity on bearings.