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At a certain location in Africa, a compa...

At a certain location in Africa, a compass points `12^@` 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^@` 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.

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