Home » MCQ on Class 10 Mathematics Chapter 9 | Some Applications of Trigonometry

MCQ on Class 10 Mathematics Chapter 9 | Some Applications of Trigonometry

By Abdur Rohman / July 10, 2024

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Chapter 9 of class 10 Mathematics as per the NCERT syllabus is Some Applications of Trigonometry which deals with Heights and Distances.

Here, we have discussed 30 Multiple Choice Questions based on these topics of the chapter. These questions will help you to learn more about the chapter and test your knowledge.

For each question below, there are four options out of which only one option is correct. After selecting your answer, click on the submit button to see the score and review your answers.

MCQ on Class 10 Maths Chapter 9 Some Applications of Trigonometry

1. What is the angle of elevation?

A. Angle below the horizontal B. Angle above the horizontal C. Angle formed by line of sight with horizontal D. Angle parallel to the horizontal

2. What is the tangent ratio in a right triangle?

A. Opposite / Hypotenuse B. Opposite / Adjacent C. Adjacent / Hypotenuse D. Hypotenuse / Opposite

3. What is the value of \( \tan 45^\circ \)?

A. \( \sqrt{3} \) B. 1 C. \( \frac{1}{\sqrt{3}} \) D. 0

4. In a right triangle, what is the cotangent ratio?

A. Adjacent / Hypotenuse B. Opposite / Hypotenuse C. Adjacent / Opposite D. Hypotenuse / Adjacent

5. What is the angle of depression?

A. Angle above the horizontal B. Angle below the horizontal C. Angle parallel to the horizontal D. Angle formed by line of sight with horizontal

6. What does the sine ratio represent?

A. Opposite / Adjacent B. Opposite / Hypotenuse C. Adjacent / Hypotenuse D. Hypotenuse / Opposite

7. What is the cosine of 60°?

A. 1 B. \( \frac{1}{2} \) C. \( \sqrt{3}/2 \) D. 0

8. In the context of trigonometry, what is a ‘line of sight’?

A. Horizontal line from observer B. Line from observer’s eye to an object C. Vertical line from observer D. Parallel line from observer’s eye

9. What is the value of \( \sin 30^\circ \)?

A. \( \frac{1}{2} \) B. \( \sqrt{3}/2 \) C. 1 D. 0

10. What does \( \tan 60^\circ \) equal?

A. 1 B. \( \sqrt{3} \) C. \( \frac{1}{\sqrt{3}} \) D. 0

11. What is the sine of 90°?

A. 1 B. 0 C. \( \frac{1}{2} \) D. \( \sqrt{3}/2 \)

12. What ratio does cosine represent in a right triangle?

A. Opposite / Adjacent B. Opposite / Hypotenuse C. Adjacent / Hypotenuse D. Hypotenuse / Opposite

13. What is the hypotenuse in a right triangle?

A. Side opposite to the angle B. Side adjacent to the angle C. Longest side D. Shortest side

14. Which angle is formed by the horizontal and a line of sight to an object above the observer?

A. Angle of depression B. Angle of elevation C. Angle of refraction D. Angle of incidence

15. What is the adjacent side in a right triangle?

A. Side opposite to the angle B. Side next to the angle C. Longest side D. Shortest side

16. Which function is the reciprocal of sine?

A. Cosine B. Tangent C. Secant D. Cosecant

17. What is the value of \( \cos 0^\circ \)?

A. 1 B. 0 C. \( \frac{1}{2} \) D. \( \sqrt{3}/2 \)

18. What does the secant function represent in trigonometry?

A. Hypotenuse / Adjacent B. Hypotenuse / Opposite C. Opposite / Adjacent D. Adjacent / Opposite

19. What is the cotangent of 0°?

A. Undefined B. 1 C. 0 D. \( \sqrt{3} \)

20. Which side of a right triangle is used in the sine ratio?

A. Opposite side only B. Hypotenuse only C. Opposite and Hypotenuse D. Adjacent and Hypotenuse

21. What is the value of \( \tan 0^\circ \)?

A. Undefined B. 0 C. 1 D. \( \sqrt{3} \)

22. What does the cosecant function represent?

A. Opposite / Hypotenuse B. Hypotenuse / Opposite C. Adjacent / Opposite D. Hypotenuse / Adjacent

23. What is the tangent of 90°?

A. Undefined B. 1 C. 0 D. \( \sqrt{3} \)

24. Which trigonometric function is the reciprocal of tangent?

A. Sine B. Cosine C. Cotangent D. Secant

25. In a right triangle, which sides are used in the tangent ratio?

A. Opposite and Adjacent B. Opposite and Hypotenuse C. Adjacent and Hypotenuse D. Hypotenuse and Base

26. What is the cosine of 90°?

A. 1 B. 0 C. \( \frac{1}{2} \) D. \( \sqrt{3}/2 \)

27. Which trigonometric function is represented by adjacent/hypotenuse?

A. Sine B. Cosine C. Secant D. Cosecant

28. Which side of a right triangle is used in the cosine ratio?

A. Opposite side only B. Hypotenuse only C. Adjacent and Hypotenuse D. Opposite and Hypotenuse

29. What is the reciprocal of cosine?

A. Secant B. Cosecant C. Tangent D. Cotangent

30. What is the value of \( \csc 90^\circ \)?

A. 1 B. 0 C. \( \sqrt{3} \) D. Undefined

Review Your Answers Above.

The Bottom Line

I hope these 30 MCQs on Some Applications of Trigonometry of Class 10 Maths Chapter 9 have helped you in your studies and preparation.

If you have any queries, or comments or find any mistake in the above questions, feel free to contact me in the comment section below.

I would love to hear from you.

Abdur Rohman

Abdur Rohman is an Electrical Engineer from Charaideo, Assam, who wears multiple hats as a part-time teacher, blogger, entrepreneur, and digital marketer. Passionate about education, he founded The Assam School blog to provide free, comprehensive textbook solutions, MCQs (Multiple Choice Questions), and other academic content for students from Class V to XII.

MCQ on Class 10 Maths Chapter 9 Some Applications of Trigonometry

1. What is the angle of elevation?

2. What is the tangent ratio in a right triangle?

3. What is the value of \( \tan 45^\circ \)?

4. In a right triangle, what is the cotangent ratio?

5. What is the angle of depression?

6. What does the sine ratio represent?

7. What is the cosine of 60°?

8. In the context of trigonometry, what is a ‘line of sight’?

9. What is the value of \( \sin 30^\circ \)?

10. What does \( \tan 60^\circ \) equal?

11. What is the sine of 90°?

12. What ratio does cosine represent in a right triangle?

13. What is the hypotenuse in a right triangle?

14. Which angle is formed by the horizontal and a line of sight to an object above the observer?

15. What is the adjacent side in a right triangle?

16. Which function is the reciprocal of sine?

17. What is the value of \( \cos 0^\circ \)?

18. What does the secant function represent in trigonometry?

19. What is the cotangent of 0°?

20. Which side of a right triangle is used in the sine ratio?

21. What is the value of \( \tan 0^\circ \)?

22. What does the cosecant function represent?

23. What is the tangent of 90°?

24. Which trigonometric function is the reciprocal of tangent?

25. In a right triangle, which sides are used in the tangent ratio?

26. What is the cosine of 90°?

27. Which trigonometric function is represented by adjacent/hypotenuse?

28. Which side of a right triangle is used in the cosine ratio?

29. What is the reciprocal of cosine?

30. What is the value of \( \csc 90^\circ \)?

The Bottom Line

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