Explanation:
Magnetic dip or magnetic inclination is given by
\(\tan \delta = \frac{{{B_V}}}{{{B_H}}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(1)\)
Where, \(B_{V}\) and \(B_{H}\) are vertical and horizontal components of earth's magnetic field, respectively.
Given, \({B_H} = \frac{1}{{\sqrt 3 }}{B_V} \Rightarrow \frac{{{B_V}}}{{{B_H}}} = \sqrt 3 \,\,\,\,\,(2)\)
From Eqs. (1) and (2), we get
\(\tan \delta=\sqrt{3} \Rightarrow \delta=60^{\circ}\)