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If θ1 and θ2 be the apparent angles of dip observed in two vertical planes at right angles to each other, then the true angle of dip θ is given by :-
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- tan1θ = tan1θ1 + tan1θ2
- cot1θ = cot1θ1 – cot1θ2
- tan1θ = tan1θ1 – tan1θ2
- cot1θ = cot1θ1 + cot1θ2
Correct Option: D
If θ1 and θ2 are opparent angles of dip
Let α be the angle which one of the plane make with the magnetic meridian.
| tan θ1 = | ||
| H cos α |
| i.e.,cos α = | ....(i) | |
| H tan θ1 |
| tan θ2 = | , | |
| H sin α |
| i.e.,sin α = | ....(ii) | |
| H tan θ2 |
Squaring and adding (i) and (ii), we get
| i.e., 1 = | [cot2θ1 - cot2θ2] | |
| H2 |
i.e., cot2 θ = cot2θ1 + cot2 θ2