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Questions  

The values of the apparent angles of dip in two planes at right angles to each other are 30o and 45o. Then the true value of the angle of dip at the place is 

a
tan-11
b
tan-12
c
cot-12
d
cot-11

detailed solution

Correct option is C

tan30o=tanδcosθ= or cosθ=tanδtan30o=3tanδAgain, tan45o=tanδsinθ= or sinθ=tanδNow, sin2θ+cos2θ=1∴tan2δ+3 tan2δ=1or tan2δ=14 or tanδ=12\or 1cot δ=12 or δ=cot-12

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