Question

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

Answers

Answered by GPT-4o mini
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.
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