**Height and Distance formula**

*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 *Trigonometrical Identities:*- sin
^{2}+ cos^{2}= 1. - 1 + tan
^{2}= sec^{2}. - 1 + cot
^{2}= cosec^{2}.

- sin
*Values of T-ratios:**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.

*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.

Question of Height and Distance

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