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JEE Math Practice Question

A vertical pole fixed to the horizontal ground is divided in the ratio 3 : 7 by a mark on it with lower part shorter than the upper part. If the two parts subtend equal angles at a point on the ground 18 m away from the base of the pole, then the height of the pole (in meters) is :

  1. A.12$$\sqrt {15} $$
  2. B.12$$\sqrt {10} $$
  3. C.8$$\sqrt {10} $$
  4. D.6$$\sqrt {10} $$

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