Multiple choice

From a light house the angles of depression of two ships on opposite sides of the light house are observed to be ${ 30 }^{ \circ }$ and ${ 45 }^{ \circ }$. If the height of the light house is $h$ metre, the distance between the ships is

  1. $-\dfrac{{\left( {\sqrt 3  + 1} \right)h}}{{\sqrt 3 }}$ meter
  2. $\left( \sqrt { 3 } -1 \right) h$ meters
  3. $\sqrt { 3 } h$ meters
  4. $1+\left( 1+\dfrac { 1 }{ \sqrt { 3 } } \right) h$ meters
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