can you show me a visualisation of the question and show me with all points and angles labelled

Here is the visualization of the problem with all points and angles labeled. The diagram shows the tree, the point \(P\), the angle of elevation, and the distances involved. 

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### Follow-up Questions:
1. How would the height change if the distance between \(P\) and the tree were halved?
2. What would the angle of elevation be if the tree's height was doubled?
3. Can you calculate the length of the line of sight from \(P\) to the top of the tree?
4. How does this problem relate to the concept of similar triangles?
5. What happens to the angle of elevation as you move farther away from the tree?
6. How can you use trigonometry to find the height if the tree is on a hill?
7. What are some other real-world situations where this type of trigonometric calculation might be useful?
8. If the point \(P\) was not directly south but at another angle, how would that affect the calculation?

### Tip:
In any trigonometric problem involving angles of elevation or depression, always start by sketching a diagram. This helps visualize the problem and makes it easier to apply the correct trigonometric functions.

Explore a detailed visualization of the angles of elevation and depression problem with trigonometric functions. This includes labeled diagrams of points, angles, and distances, discussing how changes in distance and height affect trigonometric calculations. Suitable for advanced high school students studying trigonometry.

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