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# Aptitude Made Easy – Heights And Distances

#### Aptitude Made Easy – Heights And Distances

In this unit, You can Completely learn Aptitude – Heights and Distances.

#### Heights and Distances Important Formula:

1. Trigonometry:In a right angled  OAB, where BOA = ,

 i.   sin  = Perpendicular = AB ; Hypotenuse OB
 ii.   cos  = Base = OA ; Hypotenuse OB
 iii.  tan  = Perpendicular = AB ; Base OA
 iv.  cosec  = 1 = OB ; sin AB
 v.   sec  = 1 = OB ; cos OA
 vi.  cot  = 1 = OA ; tan AB
2. Trigonometrical Identities:
1. sin2  + cos2  = 1.
2. 1 + tan2  = sec2 .
3. 1 + cot2  = cosec2 .
3. Values of T-ratios:
(/6)

30°

(/4)

45°

(/3)

60°

(/2)

90°

sin  0
 1 2
 3 2
1
cos  1
 3 2
 1 2
0
tan  0
 1 3
1 3 not defined
4. Angle of Elevation:

Suppose a man from a point O looks up at an object P, placed above the level of his eye. Then, the angle which the line of sight makes with the horizontal through O, is called the angle of elevation of P as seen from O.

Angle of elevation of P from O = AOP.

5. Angle of Depression:

Suppose a man from a point O looks down at an object P, placed below the level of his eye, then the angle which the line of sight makes with the horizontal through O, is called the angle of depression of P as seen from O.

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