If the angles of elevation of the top of a tower from three collinear points $A, B$ and $C$ on a line leading to the foot of the tower are $30^o, 45^o$ and $60^o$ respectively,then the ratio $AB : BC$ is:

  • A
    $2 : 3$
  • B
    $\sqrt{3} : 1$
  • C
    $\sqrt{3} : \sqrt{2}$
  • D
    $1 : \sqrt{3}$

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