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The real angle of dip, if a magnet is suspended at an
P angle of \( 30^{\circ} \) to the magnetic meridian and the dip

W needle makes an angle of \( 45^{\circ} \) with horizontal, is:
(1) \( \tan ^{-1}\left(\frac{\sqrt{3}}{2}\right) \)
(2) \( \tan ^{-1}(\sqrt{3}) \)
(3) \( \tan ^{-1}\left(\frac{\sqrt{3}}{\sqrt{2}}\right) \)
(4) \( \tan ^{-1}\left(\frac{2}{\sqrt{3}}\right) \)
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