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The document you provided contains multiple exercises related to angles of elevation and depression. Here’s a summary of some of the problems and the relevant concepts they cover:

1. **Problem 1**: A mobile phone tower is 23 m high, and the angle of depression to a set of traffic lights is 11 degrees. You're asked to calculate the horizontal distance from the base of the tower to the traffic lights using trigonometric ratios.
   
2. **Problem 2**: Samantha is flying 300 m above the ground, with an angle of depression of 12 degrees to the landing strip. You need to calculate the horizontal distance to the strip.

3. **Problem 3**: A lighthouse stands 142 m above sea level. The navigator measures the angle of elevation to the top of the lighthouse as 15 degrees. You need to calculate the distance from the ship to the lighthouse.

4. **Problem 4**: Jill is 45 m away from an office block and measures the angle of elevation to the top as 74 degrees. You are asked to find the height of the building.

5. **Problem 5**: Aamir measures the angle of elevation to the top of Uluru as 20 degrees when standing 810 m away. The task is to find the height of Uluru.

Each of these problems can be solved using trigonometry, specifically the tangent function (tan θ = opposite/adjacent) since you're working with right triangles formed by the height and horizontal distance.

Would you like a detailed solution to any of these problems?

Here are five related questions to expand the topic:
1. What is the difference between angles of elevation and depression?
2. How can we derive the formula to calculate horizontal distances using angles of depression?
3. How can these principles be applied to aviation and navigation?
4. What are some real-world scenarios where angles of elevation are crucial?
5. What is the impact of measurement errors in such trigonometric calculations?

**Tip**: Always ensure your calculator is in the correct mode (degrees or radians) when solving trigonometry problems involving angles!

The document contains multiple exercises related to angles of elevation and depression. Problems include calculating horizontal distances or heights based on angles and trigonometric ratios (e.g., a mobile phone tower, aircraft, lighthouse, office block, Uluru, Eiffel Tower, searchlights, etc.).

This guide covers how to solve real-life trigonometry problems involving angles of elevation and depression. Using examples like mobile towers, aircraft, and lighthouses, we explain how to calculate distances and heights using trigonometric formulas. Suitable for Grades 8-10.

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