A $1.5$ m tall boy is standing at some distance from a $30$ m tall building. The angle of elevation from his eyes to the top of the building increases from $30^\circ$ to $60^\circ$ as he walks towards the building. Find the distance he walked towards the building.

Options:

  • A: $19\sqrt{3}$ m
  • B: $57\sqrt{3}$ m
  • C: $19$ m
  • D: $28.5\sqrt{3}$ m

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