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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:

1. tan²θ = tan²θ₁ + tan²θ₂
2. cot²θ = cot²θ₁ - cot²θ₂
3. tan²θ = tan²θ₁ - tan²θ₂
4. cot²θ = cot²θ₁ + cot²θ₂

Correct answer: tan²θ = tan²θ₁ + tan²θ₂

Solution

The true angle of dip is related to the apparent angles of dip in two perpendicular planes by the formula tan²θ = tan²θ₁ + tan²θ₂. This is derived from the vector components of the Earth's magnetic field.

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