CBSE Class 10 Maths Important Questions Chapter 9 - Some Applications of Trigonometry - Free PDF Download
FAQs on Important Questions for Class 10 Maths Chapter 9 - Some Applications of Trigonometry
1. What types of important questions can be expected from "Some Applications of Trigonometry" in Class 10 CBSE board exams?
- 1-mark questions: Definitions (e.g., angle of elevation, line of sight)
- 3-mark questions: Direct application problems (e.g., finding the height of a tower)
- 5-mark questions: Multi-step or HOTS problems (e.g., combined use of elevation and depression, real-life scenarios with diagrams)
As per CBSE 2025–26, questions often combine conceptual application and diagram interpretation.
2. How do you solve a height and distance problem using trigonometric ratios in Class 10 important questions?
- Draw a labeled right-angled triangle representing the scenario.
- Identify the known values: angle(s), base/distance, height.
- Select the appropriate trigonometric ratio (sine, cosine, or tangent).
- Set up the equation and substitute values.
- Solve for the unknown (height/distance).
3. Why is the line of sight critical in Class 10 Trigonometry important questions?
The line of sight defines the direct imaginary path between the observer and the object, allowing calculation of the angle of elevation or depression, which is essential for accurately applying trigonometric ratios to solve heights and distances questions.
4. What common mistakes should students avoid in "Some Applications of Trigonometry" important questions?
- Confusing angle of elevation with angle of depression.
- Not aligning the diagram with the problem statement.
- Using the wrong trigonometric ratio.
- Incorrect unit conversion (e.g., meters to centimeters).
- Ignoring the sum of heights if objects stand one atop another.
5. How can students quickly identify which trigonometric ratio to use in an important question?
Analyze which sides of the triangle are given and needed (perpendicular, base, hypotenuse):
- If you have opposite and adjacent, use tan (tan θ = perpendicular/base).
- If you need opposite and hypotenuse, use sin (sin θ = perpendicular/hypotenuse).
- If you want adjacent and hypotenuse, use cos (cos θ = base/hypotenuse).
6. What is the exam trend or marking weightage for Class 10 Trigonometry application questions in CBSE?
As per CBSE 2025–26, application-based questions from "Some Applications of Trigonometry" generally carry 3 to 5 marks each, totaling around 6 marks per paper. These can span direct, HOTS, and case-study items.
7. How can the concepts of angle of elevation and depression be differentiated in CBSE important questions?
- Angle of elevation: Observer looks up from horizontal to an object above.
- Angle of depression: Observer looks down from horizontal to an object below.
Students should sketch and mark these accurately in diagrams during board answers.
8. Why are diagram-based questions frequently included in "Some Applications of Trigonometry" Class 10 important questions?
Diagram-based questions assess a student’s ability to translate real-life or word problems into geometric representations, which is key for accurate application of trigonometric ratios. CBSE prioritizes these for conceptual clarity as per the 2025–26 syllabus.
9. What is a high-order thinking skill (HOTS) question in the context of Class 10 Trigonometry applications?
A HOTS question requires students to apply trigonometric ratios in multi-step or unfamiliar scenarios, often combining angles of elevation and depression, or requiring reasoning to select appropriate triangles and relationships in complex problems.
10. How can previous year important questions benefit Class 10 students studying this chapter?
- Familiarize students with question patterns and marking schemes.
- Reveal common examiner preferences and variations.
- Boost confidence through practice of real exam-level application problems.
11. In exam questions, how should students handle cases where two observers view the same object from different angles?
Draw two right-angled triangles sharing a common vertical or horizontal side, assign appropriate angles and distances, and set up equations using two trigonometric ratios. Solve the system of equations to find the required height or distance.
12. What pitfalls lead to loss of marks in "Some Applications of Trigonometry" important questions?
- Not showing labeled diagrams.
- Missing stepwise calculation.
- Not specifying units in answers.
- Inaccurate rounding of decimal values.
13. What is the role of trigonometry applications outside the classroom, as per CBSE important question themes?
Applications include measuring inaccessible heights (mountains, towers), distances across rivers, and are foundational in fields like navigation, engineering, architecture, and astronomy, making them relevant both academically and in daily life scenarios.
14. How can a student effectively prepare for important questions from "Some Applications of Trigonometry" for the CBSE board?
- Practice with a variety of problems (direct and HOTS).
- Regularly draw and label diagrams.
- Review common trigonometric ratios and CBSE formulas.
- Attempt previous years’ important questions and sample papers.
15. What approach should be used if a question involves both the sum and difference of heights in a trigonometry application scenario?
Carefully assign variables to each individual height, use two separate equations for the scenarios (e.g., person standing on a building, flag on pole), and solve the system for the required quantity, ensuring all logical steps are shown as per CBSE standards.
