The angle of elevation of a cloud C from a point P , 200   m above a still take is 30 o . If the angle…

The angle of elevation of a cloud C from a point P,200 m above a still take is 30o. If the angle of depression of the image of C in the lake from the point P is 60o, then PC (in m) is equal to
  1. 100
  2. 2003
  3. 400
  4. 4003

Solution

 

tan30°=xy=13⇒y=3x and 

tan60°=x+400y

So, x+400=3y=3x

2x=400, x=200

sin30°=200PC⇒PC=400 

Asked in: JEE Main 2020 (04 Sep Shift 2)

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