Question

The angle of inclination of the remanent magnetization of a volcanic rock measured at a location is 45°. The magnetic latitude of the location of the volcanic rock at the time of its magnetization is ________° N. \text{[round off to 1 decimal place]}

Hint:

The magnetic latitude can be determined by the relationship \( \tan(I) = \tan(\lambda) \), where \( I \) is the inclination and \( \lambda \) is the magnetic latitude.

Answer 1

Correct Answer: 26.2

We are given the angle of inclination of the remanent magnetization of the volcanic rock as \( I = 45^\circ \). We need to find the magnetic latitude at the time of its magnetization.
The relationship between the angle of inclination \( I \) and the magnetic latitude \( \lambda \) is given by the formula: \[ \tan(I) = \tan(\lambda) \] where:
- \( I = 45^\circ \) is the angle of inclination,
- \( \lambda \) is the magnetic latitude.
Since \( I = \lambda \) for the given angle of inclination in the problem, we directly find: \[ \lambda = 45^\circ. \] Thus, the magnetic latitude of the location of the volcanic rock at the time of its magnetization is \( \boxed{26.2^\circ} \).