Heights and Distance:
Angle of elevation:
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If 'O' be observer's eye and OX be horizontal line through O. If object P is at the higher level than eye, then angle POX = q is called as angle of elevation
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Angle of Depression:
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If object P is at lower level than O, then angle POX is called as angle of depression.
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Illustration: A boat is being rowed away from the cliff 150 meter height. At top of the cliff the angle of depression of boat changes from 60° to 45° in 2 minutes. Find out speed of the boat.
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Solution Let PQ be the cliff => PQ = 150 meters.
Let the 2 position of boat be at A and B so that AP = h cot60 = 150/√3
BP = 150 cot45° = 150
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The speed of boat is
metres per hour.
= 
meters per hour.
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