ECAT Mathematics Application of Trigonometry Online Test

1. R =

2. Number of elements of triangle is known as

3. r₃ =

4. A man of height 6 ft observes the top of a tower and the foot of the tower at angles of 45° and 30° of elevation and depression respectively. The height of the towers is

5. Which one is true?

6. If a = 13, b = 14, c = 15, then r₂ =

7. Pythagorous theorem is solve

8. If a = 315, b = 346, c = 120 then product of the three sides = ?

10. The angle above horizontal line and the line of sight is an angle of

11. The area of a triangle with a = 300, b = 120, ϒ = 150° is

12. a/sina = b/sinβ – c/sinϒ is law of

14. The angle AOP which the ray from an observer’s eye at O to an object at P at a higher r level makes with horizontal ray OA through O is called the

15. 4 R sin a/2 sin β/2 sin ϒ/2 =

16. If for a ∆ ABC, a = 7, b = 9, c = 7, then ϒ = ?

17. Circum radius of a circle is denoted by

18. Sum of opposite angles of a cyclic quadrilateral is

19. √rr₁r₂r₃ = ?

20. E – radius corresponding to

23. A tree of 8 m high has the shadow 6m in length, the angle of elevation of the sun at that moment is

24. For a triangle, ∆ = 888 and s = 24, then radius of in circle is

25. In ∆ ABC, a²+b²-c²/2ab is

26. The point of intersection of the internal bisector of one angle and external bisectors of the other two angles of a triangle is known as

28. Law of cosine is

29. r₃ =

30. If a, b, c are the sides of the triangle ABC, then s =

31. An airplane flying at a height of 300 meters above the ground passes vertically above another place at an instant when the angle of elevation of the two planes from the same point on the ground are 60° and 45° respectively. Then the height of the lower plane from the ground is (in meters).

32. cot a/2 =

33. If a flagstaff 6 meters high placed on the top of a tower throws a shadow of 2√3 meters along the ground then the angle (in degrees) that the sun makes with the ground is

34. R =

35. If ∆ is the area of a triangle ABC, then ∆ =

36. The angles of elevation of the top of a tower at the top and the foot of a pole of height 10 m are 30° and 60° respectively. The height of the tower is

37. AB is a vertical pole and C is its middle point. The end A is on the level ground and P is any point on the level ground other than A. the portion CB subtends and angle β at P. If AP:AB = 2:1 then β =

38. 1/ab + 1/bc + 1/ca =

39. Hero’s formula is used to calculate

40. At the top of a cliff 80 m high, the angle of depression of a boat is 12°. The distance of the boat from the cliff is

41. An angle below the horizontal line and line of sight is called

42. 4R cos ½ a sin ½ β cos ½ ϒ =

43. If you are looking someone on the ground from the op a hill, the angle formed is the

44. The x – center with respect to the vertex B is the point of intersection of the

45. If β = 52°,ϒ = 89°35’, a = 89.35 in a triangle ABC, then