At a certain location in Africa, compass points `12^@` west of geographic north, figure. The north tip of magnetic needle of a dip circle placed in the plane of magnetic meridian points `60^@` above the horizontal. The horizontal component of earth's field is measured to be `0.16 gauss`. Specify the direction and magnitude of the earth's field at the location.

Explanation

The earth.s lies in the vertical plane `12^(@)` west of the geopraphic meridian meridian making an angle of `60^(@)` (upwards) with the horizontal ( magnetic south to magnetic north) direction . Magnitude = 0.35 G.