1. sin(180° − θ) is equal to
Answer: C. sin θ
Mathematics Class 10 Unit 8: Application of Trigonometry MCQs
37 multiple choice questions with the correct answer for each. Tap an option to check yourself, or switch on "Show all answers".
Tap an option to check your answer.
2. cos(180° − θ) is equal to
Answer: A. −cos θ
3. The value of sin 150° is
Answer: B. 1/2
4. The value of cos 120° is
Answer: D. −1/2
5. The value of sin 120° is
Answer: B. √3/2
6. The value of cos 150° is
Answer: C. −√3/2
7. The value of sin 135° is
Answer: D. 1/√2
8. The value of cos 135° is
Answer: A. −1/√2
9. The value of tan 135° is
Answer: D. −1
10. The value of cos 180° is
Answer: B. −1
11. In a triangle ABC, the law of sines states that
Answer: C. a/sin A = b/sin B = c/sin C
12. In a triangle ABC, the law of cosines states that
Answer: A. a² = b² + c² − 2bc cos A
13. In a triangle ABC, cos A equals
Answer: D. (b² + c² − a²)/(2bc)
14. In triangle ABC, if b = 3, c = 4 and A = 90°, then a equals
Answer: B. 5
15. In triangle ABC, if b = c = 4 and A = 60°, then a equals
Answer: C. 4
16. In triangle ABC, if b = c = 2 and A = 120°, then a equals
Answer: A. 2√3
17. In triangle ABC, if a = 6, b = 8 and C = 90°, then c equals
Answer: D. 10
18. In triangle ABC, if a = 10, A = 30° and B = 90°, then b equals
Answer: B. 20
19. In a triangle, if A = 50° and B = 60°, then C equals
Answer: A. 70°
20. The area of triangle ABC in terms of two sides and the included angle is
Answer: C. ½ ab sin C
21. The area of a triangle with a = 4, b = 6 and C = 30° is
Answer: D. 6 square units
22. The area of a triangle with two sides 10 and 10 and the included angle 90° is
Answer: A. 50 square units
23. The area of a triangle with sides 3, 4 and 5 is
Answer: C. 6 square units
24. The law of sines is most useful when we are given
Answer: B. two angles and one side
25. The law of cosines is used to find the third side when we are given
Answer: D. two sides and the included angle
26. The law of cosines is used to find an angle when we are given
Answer: C. all three sides
27. The angle of elevation is the angle between the horizontal line and the line of sight when the object is
Answer: A. above the horizontal
28. The angle of depression is the angle between the horizontal line and the line of sight when the object is
Answer: B. below the horizontal
29. The angle of elevation of A from B is equal to the angle of depression of
Answer: A. B from A
30. A tower is observed from a point 20 m from its base at an angle of elevation of 45°. The height of the tower is
Answer: C. 20 m
31. A pole of height 10 m casts a shadow of length 10√3 m. The angle of elevation of the sun is
Answer: D. 30°
32. From a point 10 m from the foot of a tower, the angle of elevation of its top is 60°. The height of the tower is
Answer: B. 10√3 m
33. A ladder 10 m long makes an angle of 60° with the ground. The height it reaches on the wall is
Answer: B. 5√3 m
34. A ladder 10 m long makes an angle of 60° with the ground. The distance of its foot from the wall is
Answer: C. 5 m
35. The length of the diagonal of a cuboid with dimensions 3 cm, 4 cm and 12 cm is
Answer: D. 13 cm
36. The diagonal of a cube of side 1 unit has length
Answer: A. √3 units
37. In an isosceles triangle with equal sides b = c, the angles B and C are
Answer: C. equal
About Mathematics Class 10 Unit 8 MCQs (Federal Board)
These 37 Mathematics MCQs cover Class 10 Unit 8: Application of Trigonometry of the Federal Board (FBISE) SSC-II (Class 10) syllabus. They are SLO-based MCQs as per the new pattern for FBISE exams. Each question has four options and the correct answer is shown, so you can practise for the annual examination and find the topics you still need to revise. Download the Application of Trigonometry MCQs as a PDF using the button at the top of this page.