PQR is a triangular park with PQ = PR = 200 m. A T.V.


PQR is a triangular park with $P Q=P R=200 \mathrm{~m}$. A T.V. tower stands at the mid-point of $Q R$. 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. 50

  2. $100 \sqrt{3}$

  3. $50 \sqrt{2}$

  4. 100

Correct Option: , 4


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