https://file.aiquickdraw.com/mathbot/file/1725793144982jjh1vr3g.jpg

I see that you've uploaded an image with a directional problem involving Alice and Adam. Let me analyze the content of the image and provide a solution.

Based on the description and diagram provided:

- Alice and Adam are 5 km apart.
- Alice is directly south of Adam.
- The bearing of Alice to the tree, which is north of Adam, is 315° from Alice's position.
- The line from Adam to the tree forms a right angle with the line from Alice to Adam.

We are asked to:

1. Determine Alice’s bearing to the tree.
2. Determine Adam's bearing to Alice.

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### Step 1: Alice’s Bearing to the Tree
The bearing is measured clockwise from the north. Given that Alice is directly south of Adam, and the tree is north of Adam, Alice's bearing to the tree would be calculated as follows:

- From Alice’s perspective, the tree is to the northwest (since it's located at a 315° bearing).
- Alice's bearing to the tree is **315°**.

### Step 2: Adam's Bearing to Alice
Adam is north of Alice, so Alice is directly south of Adam. This means Adam’s bearing to Alice is 180°.

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### Answers:

- **Alice’s bearing to the tree:** 315°
- **Adam’s bearing to Alice:** 180°

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Would you like further details or any clarifications? Here are some related questions to explore this concept further:

1. What is the meaning of a compass bearing in navigation?
2. How do you calculate bearings between two points on a coordinate plane?
3. What are some real-life applications of compass bearings?
4. How can you use trigonometry to solve more complex directional problems?
5. Can you explain how to convert between bearings and standard angles?

**Tip:** Bearings are always measured clockwise from the north, so understanding the full 360° compass directions is essential for solving these problems.

Alice and Adam are 5 km apart. Alice is directly south of Adam. The bearing of Alice to the tree is 315° from Alice's position. The line from Adam to the tree forms a right angle with the line from Alice to Adam. Determine Alice's bearing to the tree and Adam's bearing to Alice.

Learn how to solve a bearings problem involving Alice and Adam, who are 5 km apart. The problem requires calculating Alice's bearing to a tree at 315° and Adam's bearing to Alice, using principles of geometry and trigonometry. Ideal for students in Grades 9-12.

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