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Angle of Elevation
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Angle of Elevation
📐 Part 1: Understanding Angle of Elevation
1. Define angle of elevation in your own words:
2. Draw a diagram showing the angle of elevation from an observer to the top of a flagpole. Label the horizontal line, line of sight, and angle of elevation:
3. Which trigonometric ratio is most commonly used with angle of elevation problems?
Sine (sin)
Cosine (cos)
Tangent (tan)
🌳 Part 2: Practical Measurements
4. Your group measured the following data for a cocoa tree:
Distance from tree: 15 metres
Angle of elevation: 35°
Calculate the height of the tree. Show your working:
Distance from tree: 15 metres
Angle of elevation: 35°
Calculate the height of the tree. Show your working:
5. A student stands 20 metres away from a school building and looks up at the roof with an angle of elevation of 28°. What is the height of the building?
6. Fill in the missing information for this angle of elevation problem:
To find the height of an object, we use the formula: tan(θ) = _________ ÷ _________
Where θ is the _________ of elevation.
To find the height of an object, we use the formula: tan(θ) = _________ ÷ _________
Where θ is the _________ of elevation.
🏗️ Part 3: Real-World Applications
7. A radio mast casts a shadow of 25 metres. If the angle of elevation from the tip of the shadow to the top of the mast is 42°, calculate the height of the radio mast:
8. From a point 50 metres away from the base of a mountain, the angle of elevation to the peak is 18°. How high is the mountain above the observation point?
9. Which of the following situations involve angle of elevation? (Check all that apply)
Looking up at an aeroplane in the sky
Looking down at a valley from a hilltop
Measuring the height of a palm tree
Looking at a bird's nest in a tree
Watching a ball roll across the ground
🎯 Part 4: Problem Solving
10. A surveyor needs to find the height of a water tower. Standing 30 metres from the base, the angle of elevation to the top is 55°. If the surveyor's eye level is 1.7 metres above the ground, what is the total height of the water tower?
11. Match the angle measurements with their corresponding situations:
1. 90° angle of elevation
2. 45° angle of elevation
3. 0° angle of elevation
A. Looking straight ahead (horizontal)
B. Looking straight up (vertical)
C. Height equals horizontal distance
12. Create your own angle of elevation problem using a Ghanaian context (e.g., baobab tree, mosque minaret, school building). Include the given information and what needs to be calculated:
💭 Part 5: Reflection
13. One key thing I learned about angle of elevation today:
14. One question I still have about this topic:
15. One way I might use angle of elevation calculations in real life:
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