MCQ Class 10 Some Applications Of Trigonometry Set I

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1. There will be total 30  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. Which of the following is rational?

Question 1 of 30

2. 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

Question 2 of 30

3. A tree casts a shadow 4 m long on the ground, when the angle of elevation of the sun is 450. The height of the tree is:

Question 3 of 30

4. A man is standing on the deck of a ship, which is 8 m above water level. He observes the angle of elevation of the top of a hill as 600 and angle of depression of the base of the hill as 300. What is the height of the hill?

Question 4 of 30

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

Question 5 of 30

6. From the given figure, find h.

1

Question 6 of 30

7. 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 45°. The height of the tower is

Question 7 of 30

8. Find AB in the given figure

2

Question 8 of 30

9. 3In the above fig Q and α respectively are

Question 9 of 30

10. Two pillars are a metres apart and the height of one is double that of the other. If from the middle point of the line joining their feet, an observer finds the angular elevation of their tops to be complementary, then the height of the taller pillar is

Question 10 of 30

11. An electrician has to repair an electric fault on a pole of height 4 m. He needs to reach a point 1.3 m below the top of the pole to undertake the repair work. The length of the ladder he should use which when inclined at an angle of 60° to the horizontal would enable him to reach the required position is:

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Question 11 of 30

12. A man has a height of 1.732 m. He observes the angle of depression to the head and toe of his son as 30° and 60° respectively. What is the height of his son? (Take √3 = 1.732)

Question 12 of 30

13. If the angle of elevation of a cloud from a point 100 metres above a lake is 30° and the angle of depression of its reflection in the lake is 60°, then the height of the cloud above the lake is

Question 13 of 30

14. A tower stands vertically on the ground. From a point on the ground 30 m away from the foot of the tower, the angle of elevation of the top of the tower is 45°. The height of the tower will be

Question 14 of 30

15. The ratio of the length of rod and its shadow is 1:√3 , then the angle of elevation of the sun is:

Question 15 of 30

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

1

Question 16 of 30

17. If the angles of depression from the top of a tower of height 40 m to the top and bottom of a tree are 45° and 60° respectively, then the height of the tree is

2

Question 17 of 30

18. An observer 1.5 m tall is 28.5 m away from a tower. The angle of elevation of the top of the tower from his eyes is 45°. The height of the tower is

Question 18 of 30

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

Question 19 of 30

20. The shadow of a flag pole is 30 metres. If the altitude of the sun is at 30° then the height of the flag pole is

Question 20 of 30

21. If altitude of the sun is 60°, the height of a tower which casts a shadow of length 30 m is:

Question 21 of 30

22. The angles of elevation of the top of a cliff from two points x and y metres from the base and in the same straight line with it are complementary. The height of the cliff is

1

Question 22 of 30

23. The length of shadow of a tower on the plane ground is √3 times the height of the tower. The angle of elevation of sun is :

Question 23 of 30

24. A vertical tower is 20 m high. A man at some distance from the tower knows that the cosine of the angle of the elevation of the top of tower is 0.5. He is standing from the foot of the tower at a distance of:

Question 24 of 30

25. The horizontal distance between two towers is 140 m. The angle of elevation of the top of the first tower when seen from the top of the second tower is 30°. If the height of the second tower is 60 m then, the height of the first tower is

Question 25 of 30

26. Consider a constellation of 3 stars A, B and C forming a right triangle with angle ABC = 90° and angle BAC = 30° . If the distance between star A and B is 3√3 x 1013 km, then how much time does light take to travel from star C to B with a speed of 3 x 108 m/s?

Question 26 of 30

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

Question 27 of 30

28. 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 25√3 metres find the angle of elevation.

Question 28 of 30

29. 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 15√3 meters find the angle of elevation.

Question 29 of 30

30. In the following fig α is

2

Question 30 of 30

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