1. **State the problem:**
We need to find the bearing of town C from the hiker and then determine how many degrees clockwise the hiker must turn from facing town C to face town D.
2. **Understanding bearings:**
Bearings are measured clockwise from the north direction (0° or 360°) around the compass.
3. **Given information:**
- The north line is at 90° on the protractor.
- Town C is at approximately 50° from the vertical north line (which is at 90°).
- Town D is at approximately 130° from the vertical north line.
4. **Calculate the bearing of town C from the hiker:**
Since the north line is at 90° on the protractor, and town C is 50° from the north line, the bearing is:
$$\text{Bearing of C} = 90^\circ - 50^\circ = 40^\circ$$
This means town C is at a bearing of 40° from the hiker.
5. **Calculate the bearing of town D from the hiker:**
Similarly, town D is 130° from the north line, so:
$$\text{Bearing of D} = 90^\circ - 130^\circ = -40^\circ$$
Since bearings are positive clockwise from north, we add 360° to get a positive bearing:
$$-40^\circ + 360^\circ = 320^\circ$$
So town D is at a bearing of 320° from the hiker.
6. **Calculate the clockwise turn from town C to town D:**
The hiker is facing town C at 40°. To face town D at 320°, the clockwise turn is:
$$\text{Turn} = 320^\circ - 40^\circ = 280^\circ$$
7. **Final answers:**
- Bearing of town C from the hiker is **40°**.
- The hiker must turn **280° clockwise** to face town D from town C.
Bearing Turn 7Cde40
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