Outdoor Trigonometry Measurement Activities

Name:

Date:

📐 Part 1: Practical Measurement Activity

1. Choose your outdoor object and record its details:

Object selected: ___________________________ Location: ___________________________

2. Use your clinometer to measure the angle of elevation to the top of your object:

Angle of elevation = __________ degrees

3. Measure the horizontal distance from the base of the object to your standing position:

Horizontal distance = __________ metres

4. Draw a labelled diagram of your measurement setup:

5. Calculate the height of your object using trigonometry. Show all working:

6. Final answer with units:

Height of object = __________ metres

🧮 Part 2: Trigonometry Problem Solving

7. A surveyor measures an angle of elevation of 32° to the top of a building from a point 45 metres away. What is the height of the building?

8. Which trigonometric ratio would you use to find the missing side in each situation?

a) Given: angle and hypotenuse, find opposite side

sine

cosine

tangent

b) Given: angle and adjacent side, find opposite side

sine

cosine

tangent

9. A tree casts a shadow 8.5 metres long when the angle of elevation of the sun is 38°. Calculate the height of the tree.

🤔 Part 3: Reflection and Real-World Applications

10. What challenges did you face during the outdoor measurement activity? How did you ensure accuracy?

11. List three real-world jobs or situations where trigonometry is used for measurement:

1. ___________________________________________

2. ___________________________________________

3. ___________________________________________

12. Compare your calculated height with your group's estimate. Was your answer reasonable? Explain.

Outdoor Trigonometry Measurement Activities

Outdoor Trigonometry Measurement Activities

📐 Part 1: Practical Measurement Activity

🧮 Part 2: Trigonometry Problem Solving

🤔 Part 3: Reflection and Real-World Applications

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