Bearing C To D
1. **Understand the problem:** We need to find the bearing from point C to point D on a square grid map. The bearing is the angle measured clockwise from the north direction to the line connecting C to D.
2. **Analyze the grid and positions:** Since C is near the bottom left and D is near the top right on a square grid, the movement from C to D involves going some units north and some units east.
3. **Determine the horizontal and vertical distances:** Assuming each square represents 1 km (from the scale), if the difference in horizontal (east) direction is $x$ km and the difference in vertical (north) direction is $y$ km, then the bearing angle $\theta$ from the north is given by:
$$\theta = \arctan\left(\frac{\text{east distance}}{\text{north distance}}\right)$$
4. **Calculate the bearing:** The bearing is measured clockwise from north, so if $x$ is east and $y$ is north, then the bearing is:
$$\text{Bearing} = \theta = \arctan\left(\frac{x}{y}\right)$$
5. **Assuming points on the grid:** For example, if C is at coordinate (0,0) and D is at (4,4), then:
- East distance $x = 4$ km
- North distance $y = 4$ km
So,
$$\theta = \arctan\left(\frac{4}{4}\right) = \arctan(1) = 45^\circ$$
6. **Final bearing:** The bearing from C to D is $45^\circ$.
**Answer:** The bearing from C to D is $45^\circ$ to the nearest degree.