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JEE Math Practice Question

The angle of elevation of the top of a vertical tower from a point A, due east of it is 45o. The angle of elevation of the top of the same tower from a point B, due south of A is 30o. If the distance between A and B is $$54\sqrt 2 \,m,$$ then the height of the tower (in metres), is :

  1. A.$$36\sqrt 3 $$
  2. B.54
  3. C.$$54\sqrt 3 $$
  4. D.108

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