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Would you like to explain me this one question please

Asked by arpita030903 | 23 Jul, 2021, 11:43: PM
In a dip circle , apparant dip angle θ is related to true dip angle δ as given below

where α is anle made by plane of dip circle with magnetic meridian.
In first case , apparant dip angle is 30o
Hence , we get from eqn.(1) ,
...........................(2)

In second case , plane of dip circle is rotated by 90o and apparaent dip angle is 45o
Hence , we get from eqn.(1) ,
...........................(3)

Hence , we get , sinα = tanδ ..................... (4)
If we eliminate α in eqn.(2) and (4) , using sin2 α + cos2 α = 1 ,
then we get , 3 tan2 δ + tan2 δ = 1
From above expression, we get , tan δ = 1/2
Hence , true dip angle δ = tan-1 ( 1/2 )
Answered by Thiyagarajan K | 24 Jul, 2021, 11:17: PM
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