MCQ Questions for Class 10 Maths Application of Trigonometry

Trigonometry is a crucial concept in Math. Some students consider it an intricate topic, but a comprehensive grasp of concepts and practice makes the learning process easier. Chapter 9 Application of Trigonometry MCQs are important and high scoring from the exam point of view. You can answer these MCQs and match your answers using the answer key to check your preparation.Practicing Chapter 9 Application of Trigonometry MCQs will give students an in-depth acquaintance and make the concepts clear. Students who want to pass the board exam with good marks must practice these questions. MCQs will make students familiar with paper patterns and questions that can be asked in the main exam. These MCQs will boost the confidence of students.

Maths Class 10 Chapter 9 Application of Trigonometry MCQs

1. If at some time, the length of the shadow of a tower is √3 times its height, then the angle of elevation of the sun, at that time is:

A. 15°
B. 30°
C. 45°
D. 60°

Answer: B

2. At some time of the day, the length of the shadow of a tower is equal to its height. Then, the sun’s altitude at that time is:

A. 30°
B. 60°
C. 90°
D. 45°

Answer: D

3. A person is flying a kite at a height of 30 m from the horizontal level. The length of string from the kite to the person is 60 m. Assuming that here is no slack in the string, the angle of elevation of kite to the horizontal level is:

A. 45°
B. 30°
C. 60°
D. 90°

Answer: B

4. The angle of depression of a car, standing on the ground, from the top of a 75 m high tower is 30°. The distance of the car from the base of tower (in m) is:

A. 25√3
B. 50√3
C. 75√3
D. 150

Answer: C

5. The angle of elevation of the top of a 15 m high tower at a point 15 m away from the base of tower is:

A. 30°
B. 60°
C. 45°
D. 75°

Answer: C

6. A man standing at a height 6 m observes the top of a tower and the foot of tower at angles of 45° and 30° of elevation and depression respectively. The height of tower is:

A. 6√3 m
B. 12 m
C. 6(√3 – 1)
D. 6(√3 + 1) m

Answer: D

7. Two poles are 25 m and 15 m high and the line joining their tops makes an angle of 45° with the horizontal. The distance between these poles is:

A. 5 m
B. 8 m
C. 9 m
D. 10 m

Answer: D

8. A 6 feet tall man finds that the angle of elevation of a 24 feet high pillar and the angle of depression of its base are complementary angles. The distance of man from the pillar is:

A. 4√3 feet
B. 6√3 feet
C. 8√3 feet
D. 10√3 feet

Answer: B

9. A lamp post 5√3 m high casts a shadow 5 m long on the ground. The sun’s elevation at this point is:

A. 30°
B. 45°
C. 60°
D. 90°

Answer: C

10. The angle of elevation of the top of a tower from a point P on the ground is α. After walking α distance d towards the foot of the tower, angle of elevation is found to be β. Then

A. α < β
B. α > β
C. α = β
D. None of these

Answer: A

11. A ladder makes an angle of 60° with the ground, when placed along a wall. If the foot of ladder is 8 m away from the wall, the length of ladder is:

A. 4 m
B. 8 m
C. 8√2 m
D. 16 m

Answer: D

12. If the height and length of a shadow of a man are the same, then the angle of elevation of sun is:

A. 30°
B. 60°
C. 45°
D. 15°

Answer: C

13. A bridge, in the shape of a straight path across a river, makes an angle of 60° with the width of the river. If the length of the bridge is 100 m, then the width of the river is:

A. 50 m
B. 173.2 m
C. 43.3 m
D. 100 m

Answer: A

14. The angle of elevation of the top of a tower from a point on the ground 30 m away from the foot is 30°. The height of the tower is:

A. 30 m
B. 10√3
C. 20 m
D. 10√2 m

Answer: B

15. A plane is observed to be approaching the airport. It is at a distance of 12 km from the point of observation and makes an angle of elevation of 60°. The height above the ground of the plane is

A. 6√3 m
B. 4√3 m
C. 3√3 m
D. 2√3 m

Answer: A

16. The tops of two poles of height 20 m and 14 m are connected by a wire. If the wire makes an angle of 30° with horizontal, the length of the wire is

A. 6 m
B. 10 m
C. 12 m
D. 20 m

Answer: C

17. If the length of the shadow of a tower is increasing, then the angle of elevation of the sun

A. is also increasing
B. is decreasing
C. remains unaffected
D. Don’t have any relation with length of shadow

Answer: B

18. A ladder 15 metres long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, then the height of the wall will be

A. 7.5m
B. 7.7m
C. 8.5m
D. 8.8m

Answer: A

19. An observer 1.5 metres tall is 20.5 metres away from a tower 22 metres high.Determine the angle of elevation of the top of the tower from the eye of the observer.

A. 30°
B. 45°
C. 60°
D. 90°

Answer: B

20. The angles of elevation of the top of a tower from two points distant s and t from its foot are complementary. Then the height of the tower is:

A. st
B. s^2t^2
C. √st
D. s/t

Answer: C

21. The shadow of a tower standing on a level plane is found to be 50 m longer when Sun’s elevation is 30° than when it is 60°. Then the height of tower is:

A. 20√3
B. 25√3
C. 10√3
D. 30√3

Answer: B