https://file.aiquickdraw.com/mathbot/file/1727211527237mg4f3qdm.jpg

It looks like you have uploaded an image with a set of bearings (in degrees) and a matching problem involving directional angles and compass points. The task is to match the given bearings to the correct graphs.

Let’s break down the bearings and match them to the corresponding diagrams:

1. **150°**: This corresponds to a bearing of **S 30° E** (150° is 30° east of the south line).
2. **120°**: This is **S 30° W** (120° is 30° west of the south line).
3. **270°**: This is exactly **W** (270°).
4. **S 30° W**: This is a bearing 30° west of south, which corresponds to **210°**.
5. **330°**: This is **N 30° W** (330° is 30° west of the north line).
6. **N 60° W**: This is a bearing 60° west of north, corresponding to **300°**.
7. **N 60° E**: This is a bearing 60° east of north, corresponding to **60°**.
8. **S 60° W**: This is a bearing 60° west of south, corresponding to **240°**.

Now let's match them with the graphs:

- **A**: This graph shows **S 30° E**, which matches **150°**.
- **B**: This graph shows **S 30° W**, which matches **120°**.
- **C**: This graph shows **N 30° W**, which matches **330°**.
- **D**: This graph shows **S 30° W**, which is already matched to **120°**.
- **E**: This graph shows **W**, which matches **270°**.
- **F**: This graph shows **N 30° E**, but this option is not listed among the provided bearings.
- **G**: This graph shows **N 60° W**, which matches **300°**, but is not part of the available options either.
- **H**: This graph shows **N 60° E**, which matches **60°**.
- **I**: This graph shows **180°**, which corresponds to directly south but is also not in the provided options.

Would you like further explanation or help with understanding how these bearings are derived or how the angles work? 

Here are some related questions to deepen your understanding:
1. What is the difference between true bearings and compass bearings?
2. How can you convert a true bearing (like 150°) into a compass bearing (like S 30° E)?
3. What role does the reference direction (north or south) play in compass bearings?
4. How would you convert an eastward or westward bearing into degrees?
5. What is the significance of the 180° line in directional navigation?

**Tip:** Always remember that bearings are measured clockwise from north in degrees, while compass bearings are described relative to north or south, moving towards east or west.

Drag the equivalent bearing above to the matching graph below. Match the bearings (in degrees) with the correct compass direction diagrams.

Learn how to match bearings like 150°, 120°, 270°, and others to their corresponding compass directions. This problem focuses on converting bearings to compass bearings, using key geometric principles and angle measurement concepts. Suitable for high school students in Grades 9-12.

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