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JEE Math Practice Question

PQR is a triangular park with PQ = PR = 200 m. A T.V. tower stands at the mid-point of QR. If the angles of elevation of the top of the tower at P, Q and R are respectively 45$$^\circ $$, 30$$^\circ $$ and 30$$^\circ $$, then the height of the tower (in m) is :

  1. A.$$50\sqrt 2 $$
  2. B.100
  3. C.50
  4. D.$$100\sqrt 3 $$

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