# MCQ Questions for Class 10 Maths Chapter 9 Some Applications of Trigonometry with Answers

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**NCERT MCQ Questions for Class 10 Maths Chapter 9 Some Applications of Trigonometry with Answers**which is very helpful during the preparation of examinations. These MCQ Online Test are one marks questions which will give you overview of the chapter in no time. One should try to understand Class 10 MCQ Questions as it is based on latest exam pattern released by CBSE.Also, students can check NCERT Solutions for Class 10 Maths Chapter 9 for improving their marks and have good understanding of the chapter.

## Chapter 9 Some Application of Trigonometry MCQ Questions for Class 10 Maths with Answers

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

(a) 45°

(b) 30°

(c) 90°

(d) 60°

**Solution**(b) 30°

2. A ladder 12m long rests against a wall. If it reaches the wall at a height of 6√3m, then the angle of elevation is

(a) 15°

(b) 30°

(c) 45°

(d) 60°

**Solution**(d) 60°

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

(a) 300

(b) 450

(c) 900

(d) 600

**Solution**(a) 300

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

(a) 3√2 m

(b) 6√3 m

(c) 2√3 m

(d) √3 m

**Solution**(c) 2√3 m

5. 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

(a) 25

(b) 25√3

(c) 12.5

(d) 25√2

**Solution**(a) 25

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

(a) neither increasing nor decreasing

(b) decreasing

(c) increasing

(d) none of the above

**Solution**(b) decreasing

7. If the length of the shadow of a tower is √3 times that of its height, then the angle of elevation of the sun is

(a) 30°

(b) 45°

(c) 60°

(d) 75°

**Solution**(a) 30°

8. Two men are on opposite sides of a tower. They observe the angles of elevation of the top of the tower as 60° and 45° respectively. If the height of the tower is 60m, then the distance between them is

(a) 20(3−√3)m

(b) 20(3+√3)m

(c) 20(3−√3)m

(d) none of the above

**Solution**(b) 20(3+√3)m

9. If the angle of depression of a car from a 100m high tower is 45°, then the distance of the car from the tower is

(a) 100m

(b) 200m

(c) 300m

(d) 400m

**Solution**(a) 100m

10. The tops of two poles of height 16m and 10m are connected by a wire. If the wire makes an angle of 60° with the horizontal, then the length of the wire is

(a) 10m

(b) 12m

(c) 16m

(d) 18m

**Solution**(b) 12m

11. 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. Which equation can be used to find the height of the pole.

(a) cos 45° = h/30

(b) tan 45° = 30/h

(c) tan 45° = h/30

(d) sin 45° = h/30

**Solution**(c) tan 45° = h/30

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

(a) 10√3m

(b) 15√3m

(c) 20√3m

(d) 30√3m

**Solution**(d) 30√3m

13. The measure of angle of elevation of the top of a tower 75√3m high from a point at a distance of 75m from the foot of the tower in a horizontal plane is

(a) 45°

(b) 15°

(c) 30°

(d) 60°

**Solution**(d) 60°

14. When the sun's altitude changes from 30° to 60°, the length of the shadow of a tower decreases by 70m. What is the height of the tower?

(a) 35 m

(b) 140 m

(c) 60.6 m

(d) 20.2 m

**Solution**(c) 60.6 m

15. 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

(a) 15 m

(b) 8 m

(c) 20 m

(d) 10 m

**Solution**(c) 20 m

16. A pole 10m high cast a shadow 10m long on the ground, then the sun’s elevation is

(a) 15°

(b) 30°

(c) 45°

(d) 60°

**Solution**(c) 45°

17. Two men are on opposite sides of a tower. They observe the angles of elevation of the top of the tower as 30° and 45° respectively. If the height of the tower is 100m, then the distance between them is

(a) 100(√3−1)m

(b) 100(1−√3)m

(c) 100(√3+1)m

(d) none of the above

**Solution**(c) 100(√3+1)m

18. An observer 1.5m tall is 23.5m away from a tower 25m high. The angle of elevation of the top of the tower from the eye of the observer is

(a) 30°

(b) 45°

(c) 60°

(d) none of the above

**Solution**(b) 45°

19. A kite is flying at a height of 60m from the level ground, attached to a string inclined at 30° to the horizontal. The length of the string is

(a) 60m

(b) 120m

(c) 40√3m

(d) 60√3m

**Solution**(b) 120m

20. 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

(a) 30√3 m

(b) 40√3 m

(c) 30 m

(d) 40 m

**Solution**(c) 30 m

21. In a Î”ABC right angled at B, ∠A = 30° and AC = 6cm, then the length of BC is

(a) 4√3cm

(b) 3√3cm

(c) 2√3cm

(d) 3cm

**Solution**(d) 3cm

22. A pole of height 60m has a shadow of length 20√3m at a particular instant of time. The angle of elevation of the sun at this point of time

(a) 30°

(b) 45°

(c) 60°

(d) none of the above

**Solution**(c) 60°

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