Solution of Triangles MCQs 20 min Score: 0 Attempted: 0/20 Subscribe 1. Law of sines is: (A) a/sinB = b/sinA = c/sinC (B) a/sinA = b/sinB = c/sinC (C) a/sinB = b/sinA = c/sinC (D) a/sinB = b/sinC = a/sinA 2. In a triangle ABC ∠A = 70°, ∠B = 60°, then ∠C is: (A) 30° (B) 40° (C) 50° (D) 60° 3. When angle of elevation is viewed by an observer, the object is: (A) Above (B) Below (C) At the same level (D) None of these 4. If b = 2, A = 30°, B = 45°, then a is equal to: (A) 2 (B) √2 (C) √3/2 (D) 2/3 5. If a = 2, b = 2, A = 30°, then B is: (A) 45° (B) 30° (C) 60° (D) 90° 6. If in a triangle ABC, the sides b, c and angle A are given, then side a is: (A) a² = b² + c² + 2bc cosA (B) a² = b² – c² – 2ab cosA (C) a² = b² + c² – 2bc cosA (D) a² = b² – c² + 2ab cosA 7. In a triangle ABC, the law of cosine is: (A) cosA = (b² + c² + a²)/2bc (B) cosA = (b² + c² – a²)/2bc (C) cosA = (b² + c² + a²)/2ab (D) cosA = (b² + c² – a²)/2ac 8. If in a triangle ABC, b = 2, c = 2, A = 60°, then side a is: (A) 2 (B) 3 (C) 4 (D) 5 9. If in a triangle ABC, a = 1, b = 2, C = 60°, then side c is: (A) 2 (B) √3 (C) 1 (D) 3 10. If in a triangle ABC, b = 2, c = 3, a = 1, then cosA is: (A) 1 (B) 2 (C) 3 (D) 1 11. If in a triangle ABC, a = 3, b = 4, c = 2, then cosC is: (A) 1/2 (B) 3/4 (C) 7/8 (D) 3 12. If b sinC = c sinB, then a sinB is equal to: (A) c sinA (B) b sinC (C) b sinA (D) b sinB 13. In a right triangle if one angle is 30°, then the other will be: (A) 45° (B) 50° (C) 60° (D) 75° 14. In a right triangle if one angle is 45°, then the other will be: (A) 45° (B) 50° (C) 60° (D) 75° 15. If B = 90°, b = 2, A = 30°, then side a is: (A) 4 (B) 3 (C) 2 (D) 1 16. If C = 90°, a = 1, c = 2, then angle A is: (A) 90° (B) 60° (C) 45° (D) 30° 17. If C = 90°, b = 1, c = 2, then side a is: (A) 1 (B) √3 (C) 2 (D) 3 18. If C = 90°, b = 1, c = 2, then angle A is: (A) 15° (B) 30° (C) 45° (D) 60° 19. The distance of a man from the foot of a 100m tower, if angle of elevation is 30°, is: (A) 50 m (B) 100 m (C) 150 m (D) 200 m 20. A pilot at a height of 50m measures angle of depression of a tower 30°, distance from tower is: (A) 50 m (B) 25 m (C) 20 m (D) 10 m