ANGLE OF DIP

If angle of dip in two perpendicular planes is δ1 and δ2 ,then prove that
cot2δ1+cot2δ2 =cot2δ where δ is true angle of dip.

1 Answers

3
rocky ·

if the vertical plane in which angle of dip is δ1 subtends αngle α with magnetic meridian ,the other vertical plane in which angle of dip is δ2 subtends αngle (90-α) magnetic meridian ;so

tanδ1 =BvBh cos α

tanδ2 =BvBh cos(90-α)

and hence cot2δ1+cot2δ2 =(Bh Bv)2[cos2α+sin2α]

cot2δ1+cot2δ2 =cot2δ

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