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Earth's total magnetic field from one component and the angle of dip

This type of question, asked 2 times: 29 Jun 2022, 29 Jul 2022. All 2 questions below, oldest first.

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  1. Question 1

    29 Jun 2022

    15
    At a certain place the angle of dip is 30∘30^{\circ} and the horizontal component of earth's magnetic field is 0.5G0.5G. The earth's total magnetic field (in G), at that certain place, is:

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  2. Question 2

    29 Jul 2022

    108
    The vertical component of the earth's magnetic field is 6×10−5 T6 \times10^{- 5}\text{ }T at any place where the angle of dip is 37∘37^{\circ}. The earth's resultant magnetic field at that place will be (Given tan⁡37∘=34\tan37^{\circ}=\frac{3}{4} )

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