# SEBA Class 10 Mathematics MCQ Chapter 9 Some Application of Trigonometry

SEBA Class 10 Mathematics MCQ Chapter 9 Some Application of Trigonometry Question Answer in English Medium, Class 10 General Maths Multiple Choice Question Answer in English to each chapter is provided in the list so that you can easily browse throughout different chapters SEBA Class 10 Mathematics MCQ Chapter 9 Some Application of Trigonometry Notes and select need one.

## SEBA Class 10 Mathematics MCQ Chapter 9 Some Application of Trigonometry

Also, you can read the SCERT book online in these sections Solutions by Expert Teachers as per SCERT (CBSE) Book guidelines. These solutions are part of SCERT All Subject Solutions. Here we have given Assam SEBA Class 10 Mathematics MCQ Chapter 9 Some Application of Trigonometry Solutions for All Subject, You can practice these here.

### Some Application of Trigonometry

Chapter – 9

1. The height of a tower is 20 metres. The angle of elevation from a point 30 metres away from the base is:

(a) 30°

(b) 45°

(c) 60°

(d) 90°

Ans: (a) 30°.

2. In figure given ABCD is a rectangle, the value of CE is:

(a) 1 cm

(b) 2 cm

(c) 3 cm

(d) 4 cm

Ans: (d) 4 cm.

3. In the given figure, ABCD is a rectangle. If the length of AB is 6 cm and the length of AD is 8 cm, and E is a point on AD such that AE = 2 cm, what is the length of CE?

(a) 1 cm

(b) 2 cm

(c) 3 cm

(d) 4 cm

Ans: (c) 3 cm.

4. If the height of the building and distance from the building foot’s to a point is increased by 20%, then the angle of elevation on the top of the building:

(a) Increases.

(b) Do not change.

(c) Decreases.

(d) None of the above.

Ans: (b) Do not change.

5. From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20-metre-high building are 45° and 60°, respectively. Find the height of the tower.

(a) 20 metres.

(b) 20√3 metres.

(c) 20(√3 – 1) metres.

(d) 40 metres.

Ans: (c) 20(√3 – 1) metres.

6. 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:

(a) 45°

(b) 30°

(c) 60°

(d) 95°

Ans: (b) 30°.

7. The angle of elevation of the top of a building 30 m high from the foot of another building in the same plane is 60°, and also the angle of elevation of the top of the second tower from the foot of the first tower is 30°, then the distance between the two buildings is:

(a) 36 m

(b) 15√3 m

(c) 12√3 m

(d)10√3 m

8. If a person 1.8 metres tall casts a shadow 2.4 metres long, find the angle of elevation of the sun.

(a) 30°

(b) 45°

(c) 60°

(d) 75°

Ans: (a) 30°.

9. Which trigonometric function is used in navigation to calculate distances?

(a) Sine.

(b) Cosine.

(c) Tangent.

(d) Cotangent.

Ans: (a) Sine.

10. Trigonometry is used in music to:

(a) Analyze sound waves.

(b) Generate sound waves.

(c) Measure frequencies.

(d) Create harmonics.

Ans: (a) Analyze sound waves.

11. The ratio of the height of a tower and the length of its shadow on the ground is √3: 1. The angle of elevation of the Sun is:

(a) 30°

(b) 45°

(c) 60°

(d) 75°

Ans: (c) 60°.

12. A man standing on the top of a 100-metre-high tower observes a car moving away from the base of the tower. If the angle of depression of the car changes from 45° to 30° in 10 seconds, find the speed of the car.

(a) 10 m/s

(b) 15 m/s

(c) 20 m/s

(d) 25 m/s

Ans: (a) 10 m/s.

13. In a right-angled triangle ABC, right-angled at B, if tan A = √3, then the value of sin C is:

(a) √3/2

(b) 1/√2

(c) 1/2

(d) 2/√3

Ans: (a) √3/2.

14. 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:

(a) 10√33 m

(b) 5√33 m

(c) √3 m

(d) √3/5 m

Ans: (b) 5√33 m.

15. What is the difference in the length of the tower’s shadow when the sun’s altitude is 30 degrees and 60 degrees?

(a) 20m

(b) 30m

(c) 40m

(d) 50m

Ans: (c) 40m.

16. Trigonometry is used in architecture to:

(a) Design buildings

(b) Calculate stresses

(c) Determine elevations

(d) All of the above

Ans: (d) All of the above.

17. A kite is flying at a height of 60 metres attached to a string making an angle of 30° with the ground. Find the length of the string.

(a) 60 metres

(b) 90 metres

(c) 120 metres

(d) 100 metres

Ans: (b) 120 metres.

18. The angle of elevation of the top of a tower is 30°. If the height of the tower is doubled, then the angle of elevation of its top will be:

(a) Greater than 60°

(b) Equal to 30°

(c) Less than 60°

(d) Equal to 60°

Ans: (c) Less than 60°.

19. Solve the equation 2 sin² x + sin x – 1 = 0.

(a) x = π/2, 7π/6

(b) x = π/2, 11π/6

(c) x = π/6, 5π/6

(d) x = π/3, 2π/3

Ans: (b) x = π/2, 11π/6.

20. If the angles of elevation of the top of a tower from two points at the distance of a m and b m from the base of tower and in the same straight line with it are complementary, then the height of the tower (in m) is:

(a) √(a/b)

(b) √ab

(c) √(a + b)

(d) √(a – b)

Ans: (b) √ab.

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