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JEE Math Practice Question

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 $${30^ \circ }$$, $${45^ \circ }$$ and $${60^ \circ }$$ respectively, then the ratio, $$AB:BC,$$ is :

  1. A.$$1:\sqrt 3 $$
  2. B.$$2:3$$
  3. C.$$\sqrt 3 :1$$
  4. D.$$\sqrt 3 :\sqrt 2 $$

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