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Q.

True dip at a place on the surface of earth is 30o. Now the plane of the dip circle is rotated through an angle of 30o and the dip in this new plane is found to be 45o. Now the dip circle is rotated in opposite direction through an angle of 90o. What will be the apparent dip in this new plane?

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a

tan⁡−1(35)

b

tan⁡−1(34)

c

tan⁡−1(2)

d

cot⁡−1(2)

answer is D.

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Detailed Solution

cot245o+cot2δ2=cot2δ∴cot245o+cot2δ2=cot230o⇒​cot⁡2δ2=3−1 ⇒δ2=cot⁡−1(2)
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