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At a place the true value of angle of dip is 60 ° . If dip circle is rotated by ϕ ° from magnetic meridian, the angle of dip is found to be tan - 1 ⁡ ( 2 ) . Then the value of ϕ is

Options

  1. A45 °
  2. B15 °
  3. C60 °
  4. D30 °

Correct answer

D. 30 °

Step-by-step solution

tan ⁡ δ ′ = tan ⁡ δ cos ⁡ x o tan ⁡ tan - 1 ⁡ 2 = tan ⁡ 60 o cos ⁡ x o Or, cos ⁡ x ° = 3 2 ∴ x = 30 °

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