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At a certain place on earth, the true angle of dip is 60°, if the dip circle is oriented at an angle of 45º with the magnetic meridian, then the apparent angle of dip shown by the dip circle will be
  • a)
    tan-1(√6)
  • b)
    45°
  • c)
    tan-1(2)
  • d)
    tan-1(√2)
Correct answer is option 'A'. Can you explain this answer?
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At a certain place on earth, the true angle of dip is 60°, if the dip...
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At a certain place on earth, the true angle of dip is 60°, if the dip...
Given data:
True angle of dip = 60°
Angle of dip circle with magnetic meridian = 45°

Solution:

1. Understanding the concept:
The apparent angle of dip shown by the dip circle is given by the formula:
Apparent angle of dip = True angle of dip * cos(angle between dip circle and magnetic meridian)

2. Finding the angle between dip circle and magnetic meridian:
Given that the dip circle is oriented at an angle of 45° with the magnetic meridian.

3. Substituting the values:
Apparent angle of dip = 60° * cos(45°)
Apparent angle of dip = 60° * (1/√2)
Apparent angle of dip = 60°/√2
Apparent angle of dip = tan-1(√6)
Therefore, the apparent angle of dip shown by the dip circle will be tan-1(√6).
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