$A$ magnet hung at $45^{\circ}$ with the magnetic meridian makes an angle of $60^{\circ}$ with the horizontal. The actual value of the angle of dip is.

  • A
    $\tan ^{-1}\left(\sqrt{\frac{3}{2}}\right)$
  • B
    $\tan ^{-1}(\sqrt{6})$
  • C
    $\tan ^{-1}\left(\sqrt{\frac{2}{3}}\right)$
  • D
    $\tan ^{-1}\left(\sqrt{\frac{1}{2}}\right)$

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