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JEE Math Practice Question

A spherical gas balloon of radius 16 meter subtends an angle 60$$^\circ$$ at the eye of the observer A while the angle of elevation of its center from the eye of A is 75$$^\circ$$. Then the height (in meter) of the top most point of the balloon from the level of the observer's eye is :

  1. A.$$8(2 + 2\sqrt 3 + \sqrt 2 )$$
  2. B.$$8(\sqrt 6 + \sqrt 2 + 2)$$
  3. C.$$8(\sqrt 2 + 2 + \sqrt 3 )$$
  4. D.$$8(\sqrt 6 - \sqrt 2 + 2)$$

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