Class 10 Mathematics — Chapter 9: Some Applications of Trigonometry
66 practice questions · 22 Easy · 22 Medium · 22 Hard
Practise Class 10 Mathematics Chapter 9, "Some Applications of Trigonometry", with 66 NCERT-aligned multiple-choice questions. The set is split into 22 Easy, 22 Medium and 22 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams and the JEE & NEET foundation years.
"Some Applications of Trigonometry" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.
Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Some Applications of Trigonometry, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 10 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 66.
Key concepts: Some Applications of Trigonometry (Class 10 Mathematics)
This chapter applies trigonometric ratios to real situations — finding the height of a tower or the distance to an object using angles of elevation and depression.
- Line of sight
- The straight line from the observer's eye to the object being viewed.
- Angle of elevation
- The angle between the horizontal and the line of sight when the object is above the observer.
- Angle of depression
- The angle between the horizontal and the line of sight when the object is below the observer.
- Elevation = depression
- The angle of elevation from point A to B equals the angle of depression from B to A (alternate angles).
- Choosing the ratio
- Pick the ratio (sin, cos or tan) that connects the side you know with the side you want.
Key formulas — Some Applications of Trigonometry
💡 Exam tips for Some Applications of Trigonometry
- Always draw the right triangle and mark the known side, the unknown side and the angle first.
- Use tan for height-and-base problems; it avoids needing the hypotenuse.
Sample questions
The angle of elevation of an object is measured:
Angle of elevation is measured upward from the horizontal line of sight.
A ladder makes 60° with ground, foot 2.5 m from wall. Length of ladder:
cos 60° = 2.5/L ⇒ L = 5.
From a 30 m tower, angle of depression of a car is 30°. Distance of car from base:
tan 30° = 30/d ⇒ d = 30√3.
Some Applications of Trigonometry — FAQs
What are the key concepts in Class 10 Mathematics Some Applications of Trigonometry?+
This chapter applies trigonometric ratios to real situations — finding the height of a tower or the distance to an object using angles of elevation and depression. Key ideas include Line of sight, Angle of elevation, Angle of depression, Elevation = depression, Choosing the ratio.
What does Class 10 Mathematics Chapter 9 (Some Applications of Trigonometry) cover on XamBaaz?+
It covers 66 NCERT-aligned MCQs on "Some Applications of Trigonometry" — 22 Easy, 22 Medium and 22 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams and the JEE & NEET foundation years.
Are these "Some Applications of Trigonometry" questions free to practise?+
Yes — sign in with Google to practise "Some Applications of Trigonometry" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "Some Applications of Trigonometry" for the exam?+
Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.
Practise all 66 questions free
Timed quizzes, instant scoring, streaks and XP. Sign in with Google — no card needed.
Start this chapter free →