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

We have completed the NCERT/CBSE chapter-wise Multiple Choice Questions for Class 10 Mathematics book Chapter 9 Some Applications Of Trigonometry with Answers by expert subject teacher for latest syllabus and examination. You can Prepare effectively for the exam, Taking the help of the Class 10 Business Studies Objective Questions PDF free of cost from here. Students can take a free test of the Multiple Choice Questions of Some Applications Of Trigonometry. Each Questions has four options followed by the right answer. Download the Mathematics Quiz Questions with Answers for Class 10 free Pdf and prepare to exam and help students understand the concept very well.

MCQ Questions for Class 10 Mathematics with Answers

Q1. 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

(i) 30°
(ii) 45°
(iii) 60°
(iv) 75°

(i) 30°

Q2. When the length of shadow of a vertical pole is equal to √3 times of its height, the angle of elevation of the Sun’s altitude is

(i) 30°
(ii) 45°
(iii) 60°
(iv) 15°

(i) 30°

Q3. If a tower 6m high casts a shadow of 2√3 m long on the ground, then the sun’s elevation is:

(i) 60°
(ii) 45°
(iii) 30°
(iv) 90°

(i) 60°

Q4. The shadow of a tower is equal to its height at 10-45 a.m. The sun’s altitude is

(i) 30°
(ii) 45°
(iii) 60°
(iv) 90°

(ii) 45°

Q5. The angle of elevation of top of a tower from a point on the ground, which is 30 m away from the foot of the tower is 30°. The length of the tower is

(i) √3 m
(ii) 2√3 m
(iii) 5√3m
(iv) 10√3 m

(iv) 10√3 m

Q6. The upper part of a tree is broken by the wind and makes an angle of 30° with the ground. The distance from the foot of the tree to the point where the top touches the ground is 5 m. The height of the tree is

(i) 10√33 m
(ii) 5√33 m
(iii) √3 m
(iv) √3/5 m

(ii) 5√33 m

Q7. The angle formed by the line of sight with the horizontal when the point is below the horizontal level is called:

(i) Angle of elevation
(ii) Angle of depression
(iii) No such angle is formed
(iv) None of the above

(ii) Angle of depression

Q8. 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?

(i) 35 m
(ii) 140 m
(iii) 60.6 m
(iv) 20.2 m

(iii) 60.6 m

Q9. A 20 m long ladder touches the wall at a height of 10 m. The angle which the ladder makes with the horizontal is

(i) 450
(ii) 300
(iii) 900
(iv) 600

(ii) 300

Q10. The tops of two poles of height 20 m and 14 m are connected by a wire. If the wire makes an angle of 30° with horizontal, the length of the wire is

(i) 6 m
(ii) 10 m
(iii) 12 m
(iv) 20 m

(iii) 12 m

Q11. The line drawn from the eye of an observer to the point in the object viewed by the observer is said to be

(i) Angle of elevation
(ii) Angle of depression
(iii) Line of sight
(iv) None of the above

(iii) Line of sight

Q12. If the angle of depression of an object from a 75m high tower is 30°, then the distance of the object from the tower is

(i) 50√3m
(ii) 25√3m
(iii) 75√3m
(iv) 100√3m

(iii) 75√3m

Q13. 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

(i) 20m
(ii) 40√3m
(iii) 60√3m
(iv) 80√3m

(i) 20m

Q14. A contractor planned to install a slide for the children to play in a park. If he prefers to have a slide whose top is at a height of 1.5m and is inclined at an angle of 30° to the ground, then the length of the slide would be

(i) 1.5m
(ii) 2√3m
(iii) √3m
(iv) 3m

(iv) 3m

Q15. The height or length of an object or the distance between two distant objects can be determined with the help of:

(i) Trigonometry angles
(ii) Trigonometry ratios
(iii) Trigonometry identities
(iv) None of the above

(ii) Trigonometry ratios

Q16. If sun’s elevation is 60° then a pole of height 6 m will cast a shadow of length

(i) 3√2 m
(ii) 6√3 m
(iii) 2√3 m
(iv) √3 m

(iii) 2√3 m

Q17. If the angle of depression of an object from a 75m high tower is 30°, then the distance of the object from the tower is

(i) 50√3m
(ii) 25√3m
(iii) 75√3m
(iv) 100√3m

(iii) 75√3m

Q18. The angle of elevation of the top of a tower from a point 20 metres away from its base is 45°. The height of the tower is

(i) 10 m
(ii) 20 m
(iii) 30 m
(iv) 20√3 m

(ii) 20 m

Q19. 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

(i) 15 m
(ii) 8 m
(iii) 20 m
(iv) 10 m

(i) 20 m

Q20. 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

(i) 10m
(ii) 12m
(iii) 16m
(iv) 18m

(ii) 12m

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MCQ Questions for Class 10 Mathematicss with Answers

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