At a certain location in Africa , a component points $12^{\circ}$ west of the geographic north. The north tip of the magnetic needle of a dip circle placed in the plane of magnetic meridian points $60^{\circ}$ and above the horizontal. The horizontal component of the earth's field is measured to be $0.16 \;G$ Specify the direction and magnitude of the earth's field at the location .

Question

$\begin{array}{1 1} \text{magnitude: $0.32 \times 10^{-4} T$ , direction : lies in a vertical plane $12^{\circ}$W of geographical median} \\ \text{magnitude: $3.2 \times 10^{-4} T$ , direction: lies in a horizontal plane $12^{\circ}$W of geographical median} \\ \text{magnitude: $0.32 \times 10^{-4} T$ , direction : lies in a horizontal plane $12^{\circ}$W of geographical median} \\ \text{magnitude: $3.2 \times 10^{-4} T$ , direction lies in a verical palne $12^{\circ}$W of geographical median} \end{array} $