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Q.

The plane of the dip circle is set in the geographical meridian and the apparent dip is θ1. It is then set in a vertical plane perpendicular to the geographical meridian, the apparent dip becomes θ2. The angle of declination α at that place is given by

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a

tan α=tan θ1 tanθ2

b

α=tan2 θ1 tan2 θ2

c

tan α=tan θ1tanθ2

d

tan α=tan θ2tanθ1

answer is C.

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Detailed Solution

tan θ1=tan δcos θ ; tan θ2=tan δcos(90-α)tan θ1tan θ2=sin αcos α=tan α
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The plane of the dip circle is set in the geographical meridian and the apparent dip is θ1. It is then set in a vertical plane perpendicular to the geographical meridian, the apparent dip becomes θ2. The angle of declination α at that place is given by