Below you will find MCQ Questions of Chapter 9 Some Applications of Trigonometry Class 10 Maths that will help you in gaining good marks in the examinations and also cracking competitive exams. These Class 10 MCQ Questions with answers will widen your skills and understand concepts in a better manner.

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

1. If the altitude of the sun is 60°, the height of a tower which casts a shadow of length 90m is

(a) 60m

(b) 90m

(c) 60√3m

(d) 90√3m

► (d) 90√3m

2. The top of a broken tree has its top touching the ground at a distance of 10m from the bottom. If the angle made by the broken part with the ground is 30°, then the length of the broken part is

(a) 20m

(b) 20√3m

(c) 10√3m

(d) 20/√3m

► (d) 20/√3m

3. 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

► (c) 60.6 m

4. If a kite is flying at a height of 10√3m from the level ground attached to a string inclined at 60° to the horizontal then the length of the string is

(a) 20m

(b) 40√3m

(c) 60√3m

(d) 80√3m

► (a) 20m

5. The upper part of a tree broken by the wind falls to the ground without being detached. The top of the broken part touches the ground at an angle of 30° at a point 8m from the foot of the tree. The original height of the tree is

(a) 8m

(b) 24m

(c) 24√3m

(d) 8√3m

► (d) 8√3m

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 these

► (b) decreasing

7. An electric pole is 10√3 m high and its shadow is 10m in length, then the angle of elevation of the sun is

(a) 15°

(b) 30°

(c) 45°

(d) 60°

► (d) 60°

8. 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

► (c) tan 45° = h/30

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

(a) Obtuse angle

(b) Vertical angle

(c) Angle of depression

(d) Angle of elevation

► (d) Angle of elevation

10. 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

(a) 30°

(b) 90°

(c) 60°

(d) 45°

► (a) 30°

11. 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

► (b) 120m

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

► (d) 30√3m

13. 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) 60√3 m

(b) 30√3 m

(c) 30 m

(d) 30/√3 m

► (b) 30√3 m

14. 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) 8√3 m

(b) 24 m

(c) 32 m

(d) 24√3 m

► (c) 32 m

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

(a) 5.2 m

(b) 4 m

(c) 3 m

(d) 4.5 m

► (b) 4 m

16. A ladder 14m long rests against a wall. If the foot of the ladder is 7m from the wall, then the angle of elevation is

(a) 30°

(b) 60°

(c) 45°

(d) 75°

► (b) 60°

17. If the length of a shadow cast by a pole is √3 times the length of the pole, then the angle of elevation of the sun is

(a) 45°

(b) 60°

(c) 30°

(d) 90°

► (c) 30°

18. An electric pole is tied from the top to a point (some distance away from the base) on the ground using a string. The ratio of the height of pole to the string is √3 : 2, then the angle of elevation of the top from the point on the ground is

(a) 30°

(b) 45°

(c) 60°

(d) none of these

► (c) 60°

19. 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 these

► (b) 45°

20. If the shadow of a tower is 30m long, when the sun’s elevation is 30°. The length of the shadow, when the sun’s elevation is 60°is

(a) 10m

(b) 20m

(c) 30m

(d) 40m

► (a) 10m

21. 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

(a) 10 m

(b) 40 m

(c) 30 m

(d) 20 m

► (c) 30 m

22. If the length of the shadow of a tower is equal to its height, then the angle of elevation of the sun is

(a) 30°

(b) 45°

(c) 60°

(d) 65°

► (b) 45°

Hope the given MCQ Questions will help you in cracking exams with good marks. These **Some Application of Trigonometry MCQ Questions** will help you in practising more and more questions in less time.