If $\theta $ and $\phi $ are acute satisfying $\sin \theta = \frac{1}{2},$ $\cos \phi = \frac{1}{3},$ then $\theta + \phi \in $

  • [IIT 2004]
  • A

    $\left( {\frac{\pi }{3},\,\frac{\pi }{2}} \right)$

  • B

    $\left( {\frac{\pi }{2},\frac{{2\pi }}{3}} \right)$

  • C

    $\left( {\frac{{2\pi }}{3},\,\frac{{5\pi }}{6}} \right)$

  • D

    $\left( {\frac{{5\pi }}{6},\pi } \right)$

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