MCQ Class 10 Maths Some Applications of Trigonometry Applications of Heights and Distances

1. There will be total 15 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. 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

A

B

C

D

Question 1 of 15

2. 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 60° and angle of depression of the base of the hill as 30°. What is the height of the hill?

A

B

C

D

Question 2 of 15

3. 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:

A

B

C

D

Question 3 of 15

4. 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 45o. The height of the tower will be

A

B

C

D

Question 4 of 15

5. 1. 2. 1500 sec
3. 150 sec
4.

A

B

C

D

Question 5 of 15

6. 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 30o. If the height of the second tower is 60 m then, the height of the first tower is

140.83 m

135 m

139.5 m

142 m

Question 6 of 15

7. 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 60° and angle of depression of the base of the hill as 30°. What is the height of the hill?

A

B

C

D

Question 7 of 15

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

A

B

C

D

Question 8 of 15

9. 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

10 m

40 m

30 m

20 m

Question 9 of 15

10. 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

A

B

C

D

Question 10 of 15

11.

90°

60°

45°

30°

Question 11 of 15

12. 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

A

B

C

D

Question 12 of 15

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

30 m

100 m

200 m

500 m

Question 13 of 15

14. A tree is broken by wind and its upper part touches the ground at a point 10 metres from the foot of the tree and makes an angle of 45° with the ground. The entire length of the tree is

20 m

10(1+√2)m

10 m

10√2 m

Question 14 of 15

15.

3.464 m

3 m

1.732 m

1.155 m

Question 15 of 15

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