Starting from point M, a horse and rider set off on a bearing of 270° and travel a distance of 11.2km to a point N. From N they travel 5.8km on a bearing of 170° to a point O. Draw a diagram to show these bearing and journeys.

To find the bearing and distance of M from O, we first need to determine the angle and distance of the journey from N to O.

Given:
- From N to O, the bearing is 170° and the distance is 5.8km.

Now, let's draw a diagram to represent these bearings and journeys:

```
N(5.8km, 170°)
/
/
O(unknown distance and bearing)
/
/
M(11.2km, 270°)
```

To find the bearing and distance of M from O, we need to calculate the angle between the bearings from M to N (bearing of 270°) and from N to O (bearing of 170°):

Angle between bearing M-N and bearing N-O = 270° - 170° = 100°

Now, to find the distance of M from O, we can use the cosine rule:

Distance^2 = 11.2^2 + 5.8^2 - 2(11.2)(5.8)cos(100°)
Distance = √(125.44 + 33.64 - 129.92cos(100°))
Distance = √(159.08 - 129.92cos(100°))
Distance ≈ √(159.08 - 11.14)
Distance ≈ √147.94
Distance ≈ 12.17km

Therefore, the bearing of M from O is 170° + 100° = 270°, and the distance of M from O is approximately 12.17km.