MCQ Class 10 Maths Chapter 9 Some Applications of Trigonometry

MCQ’s For All Chapters – Maths Class 10th

1. There will be total 25 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. A tower stands vertically on the ground from a point on the ground which is 15 m away from the foot of tower. If the height of tower is meters find the angle of elevation.

120°

60°

30°

90°

Question 1 of 25

2. The fig., shows the observation of point C from point A. The angle of depression from A is:

75°

30°

45°

60°

Question 2 of 25

3. From the given figure, find h.

50 √3 m

25 √3 m

√3 m

2 √3 m

Question 3 of 25

4. The angle formed by the line of sight with the horizontal, when the point being viewed is above the horizontal level is called:

Obtuse angle

Vertical angle

Angle of depression

Angle of elevation

Question 4 of 25

5.

60°

45°

30°

90°

Question 5 of 25

6.

60°

45°

30°

90°

Question 6 of 25

7. A tower stands vertically on the ground from a point on the ground which is 25 m away from the foot of tower if the height of tower is metres find the angle of elevation.

60°

30°

120°

90°

Question 7 of 25

8. In the above fig Q and ∝ respectively are

Angle of Depression and Angle of Depression

Angle of Elevation and Angle of Elevation

Angle of depression and Angle of Elevation

Angle of Elevation and Angle of depression

Question 8 of 25

9. A ladder leaning against a wall makes an angle of 60⁰ with the wall. If its foot is 6.2 m away from the wall, its length is

14.2 m

8 m

12.4 m

10.2 m

Question 9 of 25

10. If the length of a shadow cast by a pole is times the length
of the pole, then the angle of elevation of the sun is

45°

60°

30°

90°

Question 10 of 25

11. If the angle of the top of the 200 m high tower from a point C on the ground is 300. The distance of the point C from the foot of the tower is
(Take=)

246.6 m

173.6 m

346.4 m

300.4 m

Question 11 of 25

12. In the following ∝ is

Angle of Depression

Angle of Deviation

Angle of Elevation

Angle of incidence

Question 12 of 25

13. A 20 m long ladder touches the wall at a height of 10 m. The angle which the ladder makes with the horizontal is

45⁰

30⁰

90⁰

60⁰

Question 13 of 25

14. The angle of elevation from a point 30 feet from the base of a pole, of height h, as level ground to the top of the pole is 45o degree. Which equation can be used to find the height of the pole.

A

B

C

D

Question 14 of 25

15. The ratio of the length of rod and its shadow is 1: , then the angle of elevation of the sun is:

60⁰

30⁰

45⁰

90⁰

Question 15 of 25

16. If sun's elevation is 60° then a pole of height 6 m will cast a shadow of length

A

B

C

D

Question 16 of 25

17. The angle of elevation from a point 30 metre from the base of tree as level ground to the top of the tree is 60°. The height of the tree is :

A

B

C

D

Question 17 of 25

18. A tree is broken by the wind. The top struck the ground at an angle of 30o and at a distance of 30 metres from the foot of the tree. The height of the tree in metres is

40√

35√3

25√3

30√3

Question 18 of 25

19. A tower stands vertically on the ground. From a point C on the ground, which is 20 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 450. The height of the tower is

15 m

8 m

20 m

10 m

Question 19 of 25

20. A kite is flying, attached to a thread which is 165m long. The thread makes an angle of 300 with the ground. The height of the kite from the ground, assuming that there is no slack in the thread is

84 m

80 m

82.5 m

81.5 m

Question 20 of 25

21. Find AB in the given figure

√3

30√3

20√3

10√3

Question 21 of 25

22. In the following fig α is

Angle of sight

Angle of Elevation

Angle of incidence

Angle of Depression

Question 22 of 25

23. A tree casts a shadow 4 m long on the ground, when the angle of elevation of the sun is 45o. The height of the tree is:

5.2 m

4 m

3 m

4.5 m

Question 23 of 25

24. The angle of elevation of the sun when the length of the shadow of the tree is √3 times the height of the tree is

30⁰

90⁰

60⁰

45⁰

Question 24 of 25

25. A tower stands vertically on the ground. From a point on the ground which is 25 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 45o. Then the height (in meters) of the tower is

25

25√3

12.5

25√2

Question 25 of 25

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