Multiple choice

A person standing on the ground observes the angle of elevation of the top of a water to be ${ 30 }^{ \circ }$. On walking a distance one unit in a certain direction he finds the elevation of the top to be the same as before. He then walks a distance $\quad \dfrac { 5 }{ 3 } $unit at right to his former direction, and finds that the elevation of the top has doubled. The height of the tower can be.

  1. $\sqrt { \dfrac { 5 }{ 16 } } $
  2. $\sqrt { \dfrac { 85 }{ 48 } } $
  3. $\sqrt { \dfrac { 6 }{ 5 } } $
  4. $\sqrt { \dfrac { 48 }{ 85 } } $
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