What this lesson teaches
This activity helps students apply trigonometric ratios to real-life situations, enhancing their understanding of angles and heights.
Math in Action
Can you finish trigonometry height measure in about 35 min?
Trigonometry Height Measure
You will apply trigonometric ratios to real-life situations, enhancing their understanding of angles and heights.
Duration35 min
Age GroupAges 13–15
DifficultyAdvanced
SubjectMath
See how this hands-on lesson works
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What you need
- Protractor
- Measuring tape
- Calculator
- Paper and pencil
- Object to measure (tree, building, etc.)
How the activity runs
- Gather a protractor, measuring tape, and a calculator.
- Stand a known distance from the object to measure its height.
- Use the protractor to find the angle of elevation to the top.
- Calculate the height using the tangent ratio: height = distance * tan(angle).
- Check your measurement by comparing it with the actual height.
The learning connection
Hands-on activities make learning engaging and relatable. By measuring real objects, students connect theory with practice, solidifying their grasp of trigonometry.
Try it with your learner
1. Choose a tall object to measure the height of. 2. Stand a known distance from the object and measure that distance with the measuring tape. 3. Use the protractor to measure the angle of elevation to the top of the object. 4. Write down the angle and the distance you measured. 5. Use the tangent function: height = distance × tan(angle). 6. What did you notice about the height you calculated compared to the actual height?