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JEE Math Practice Question

Consider a triangular plot ABC with sides AB = 7m, BC = 5m and CA = 6m. A vertical lamp-post at the mid point D of AC subtends an angle 30o at B. The height (in m) of the lamp-post is -

  1. A.$$2\sqrt {21} $$
  2. B.$${3 \over 2}\sqrt {21} $$
  3. C.$$7\sqrt {3} $$
  4. D.$${2 \over 3}\sqrt {21} $$

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