CBSE Class 10 Maths Chapter 9 – Some Applications of Trigonometry (2026–27)
Master Chapter 9 – Some Applications of Trigonometry with comprehensive study notes, NCERT solutions, exercise-wise solutions, MCQs, important questions, PDF downloads, and video lessons based on the latest CBSE Class 10 Mathematics (2026–27) syllabus. Learn how to apply trigonometric ratios to calculate heights and distances through easy explanations, solved examples, and real-life applications.
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Chapter Summary
Some Applications of Trigonometry helps students apply the trigonometric ratios learned in the previous chapter to solve real-life problems involving heights and distances. Students learn to calculate the height of buildings, trees, towers, and the distance of inaccessible objects by using angles of elevation and angles of depression.
Through NCERT exercises, solved examples, MCQs, and important questions, students develop analytical thinking and practical problem-solving skills that are valuable for both board examinations and competitive exams.
Learning Outcomes
After completing this chapter, students will be able to:
- ✅ Understand the applications of trigonometry.
- ✅ Identify angles of elevation and angles of depression.
- ✅ Solve problems involving heights and distances.
- ✅ Apply trigonometric ratios in practical situations.
- ✅ Interpret real-life diagrams involving trigonometry.
- ✅ Improve logical reasoning and problem-solving skills.
- ✅ Solve NCERT and board-level questions confidently.
- ✅ Prepare effectively for the CBSE board examination.
Key Topics
- 📐 Heights and Distances
- 📏 Angle of Elevation
- 📉 Angle of Depression
- 🔺 Applications of Trigonometric Ratios
- 🌍 Real-Life Applications of Trigonometry
⭐ Study Resources
📝 Exercise Solutions
Step-by-step video lessons covering every concept based on the latest CBSE syllabus.
📄 Study Notes
Comprehensive notes with explanations, solved examples, and important concepts.
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Formula Sheet
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📘 NCERT Solutions
Step-by-step solutions for every NCERT textbook exercise with clear explanations.
📘 Exemplar Solutions
Detailed solutions for NCERT Exemplar questions to strengthen higher-order thinking.
📑 Important Questions
Most expected board exam questions with detailed solutions and explanations.
❓ MCQs
Chapter-wise multiple-choice questions for concept reinforcement and quick revision.
🎥 Video Lessons
Step-by-step video lessons covering every concept based on the latest CBSE syllabus.
📑 Competency Based Questions
Assertion & Reason and Case Study questions based on the latest CBSE pattern..
📄 PDF Notes
Additional practice questions to improve problem-solving skills and self-assessment.
📝Exercise-wise Solutions
📘 Exercise 9.1 – Heights and Distances
Exercise 9.1 introduces the concepts of angles of elevation and depression. Students learn to solve problems involving the heights of buildings, trees, towers, and other inaccessible objects using trigonometric ratios.
📘 Exercise 9.2 – Applications of Trigonometry
Exercise 9.2 focuses on solving real-life applications of trigonometry involving heights and distances through step-by-step solutions and practical examples.
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📄 Chapter Notes PDF
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📘 NCERT Solutions PDF
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📝 Exercise Solutions PDF
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❓ MCQs PDF
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📑 Important Questions PDF
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📚 Formula Sheet PDF
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❓ Frequently Asked Questions
1. What are the applications of trigonometry?
Trigonometry is used to calculate heights, distances, and angles in real-life situations. It has applications in engineering, architecture, surveying, navigation, astronomy, and construction.
2. How many exercises are there in Chapter 9?
Chapter 9 contains 2 exercises:
- 📘 Exercise 9.1 – Heights and Distances
- 📘 Exercise 9.2 – Applications of Trigonometry
3. What is an angle of elevation?
An angle of elevation is the angle formed between the horizontal line and the line of sight when an observer looks upward at an object located above eye level, such as a building, tower, or tree.
4. Are these notes based on the latest CBSE syllabus?
Yes. All study notes, solutions, and learning resources are prepared according to the latest CBSE Class 10 Mathematics (2026–27) syllabus.
5. Are NCERT exercise solutions available?
Yes. Step-by-step solutions for Exercise 2.1 and Exercise 2.2 are available with detailed explanations.
6. Can I download the Chapter 9 notes as a PDF?
Yes. Free PDF notes and other downloadable study resources are available on this page.
7. Are MCQs and important questions included?
Yes. This chapter includes chapter-wise MCQs, important questions, and additional practice material for exam preparation.
8.Why is Chapter 9 important for the CBSE board examination?
Chapter 9 is an important scoring chapter because it applies the concepts learned in Introduction to Trigonometry to real-life situations. Questions based on heights and distances, angles of elevation, and angles of depression are frequently asked in the CBSE board examination, making this chapter essential for building strong problem-solving skills.
9. Are video lessons available for this chapter?
Yes. Video lessons are provided to help students understand each concept with clear explanations and solved examples.
10. Who can use these study resources?
These resources are suitable for CBSE Class 10 students, teachers, and parents looking for reliable notes, NCERT solutions, MCQs, PDFs, and revision material.
11. What is an angle of depression?
An angle of depression is the angle formed between the horizontal line and the line of sight when an observer looks downward at an object below eye level.
12.. How are trigonometric ratios used to find heights and distances?
Trigonometric ratios such as sin, cos, and tan are used along with the angle of elevation or depression to calculate unknown heights and distances in right-angled triangles.
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🚀Continue Learning
Keep building your mathematics skills by exploring the next chapter in the CBSE Class 10 Mathematics syllabus.
📖 Chapter 8 – Introduction to Trigonometry
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📖 Chapter 10 – Circles
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