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JEE Main202118 Mar 2021Evening ShiftMathematicsHeights and DistancesActual

A pole stands vertically inside a triangular park A B C . Let the angle of elevation of the top of the pole from each corner of the park be π 3 . If the radius of the circumcircle of Δ A B C is 2 , then the height of the pole is equal to :

Options

  1. A2 3 3
  2. B2 3
  3. C3
  4. D1 3

Correct answer

B. 2 3

Step-by-step solution

Let P D = h ,   R = 2 As angle of elevation of top of pole from A , B , C are equal So D must be circumcentre of Δ A B C tan π 3 = P D R = h R h = R tan π 3 = 2 3

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