- #1

Insanity

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Would it be possible to determine the Lat and Long coordinates for a position on the Earth knowing the following.

- True North Pole is at 90°N
- Geomagnetic North Pole is at 82.7°N, 114.4°W
- Knowing the direction of True North, I can determine the angle separating the two at my position.

The vertices of the spherical triangle would be.

- Point A would be the True North Pole.
- Point B would be the Geomagnetic North Pole.
- Point C would be my location.

The sides of the spherical triangle would be.

- Line AB, or γ
- Line BC, or α
- Line AC, or β

Side γ has a known length, the distance from the True Pole to GM Pole, which is 820.76km. With Earth's radius at 6371km, this works out to be 0.13 radians, or 7.38°.

[itex]sin C/sin γ = -1.07703 = sin A/sin α = sin B/sin β[/itex] Correct?

Seems to me the other lengths should be able to be determined, and then perhaps the coordinates of Point C. Is that possible?