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NEETPhysicsMotion in One Dimension

A balloon is moving up in air vertically above a point A on the ground. When it is a height h 1 , a girl standing at a distance d (point B) from A (see figure) sees it at an angle 45 ° with respect to the vertical. When the balloon climbs up a further height h 2 , it is seen at an angle 60 ° with respect to the vertical if the girl moves further by a distance 2 . 464 d (point C). Then the height h 2 is (given tan 30

Options

  1. A1 . 464 d
  2. B0 . 732 d
  3. C0 .464 d
  4. Dd

Correct answer

D. d

Step-by-step solution

t 45 = h 1 d h 1 = d .......(i) h 1 + h 2 d + 2 . 464 d = tan 30 ° = 1 3 = 0 . 5774 h 1 + h 2 = ( 3 . 464 ) d × 0 . 5774 h 1 + h 2 = 2 d .......(ii) ∴ h 2 = d

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