Class 10 Math: Some Applications of Trigonometry Solved Examples & Step Solutions

NexPro Tools Mathematics TeamJune 5, 20266 min read

The best way to gain confidence in mathematics is by studying solved examples. By analyzing how formulas are applied step-by-step, you learn how to tackle complex questions in your homework and exams. Let's walk through standard worked examples for Class 10 Some Applications of Trigonometry.

Step-by-Step Solved Problems

Example 1: Height of a Tower

Question: A person stands 30m away from a tower. The angle of elevation to the top is 30 degrees. Find the height of the tower.

Worked Solution Steps:

  1. Identify parameters: d = 30m, elevation angle = 30 degrees.
  2. Recall tan(30) = 1/√3.
  3. Use formula: h = d * tan(θ) = 30 * (1/√3).
  4. Rationalize: h = 10√3 ≈ 17.32m.
Final Answer: 17.32m

Self-Practice Method

When studying these examples, cover the solution with a sheet of paper and attempt to solve the question on your own. If you get stuck, reveal the steps one by one to identify where your logic deviated. This active recall method builds long-term problem-solving skills.

📚 Class 10 Math Resource Hub for Some Applications of Trigonometry: • 🧮 Interactive Solver: Solve Some Applications of Trigonometry Problems - Verify steps in real-time. • 📝 Timed Practice Quiz: Take Some Applications of Trigonometry Online Quiz - Test your speed and concepts. • 📄 Printable Worksheet: Download Some Applications of Trigonometry PDF Worksheet - Interactive problems with answers. • 📐 Formula Sheet: View Some Applications of Trigonometry Key Equations - Complete revision references. • 🔄 Next Topic Guide: Circles Study Notes • 🎓 Syllabus Overview: Class 10 Mathematics Portal - Access all chapter guides.