We have decided to charge our passengers on the "great circle distance" traveled, and therefore will utilize

We have decided to charge our passengers on the "great circle distance" traveled, and therefore will utilize the spherical law of cosines" to calculate the distance around the Earth's circumference.

Explanation:

The best way to charge passengers over the distance of the large circle traveled is through the spherical law of cosines. Where it is possible to calculate the distance around the circumference of the earth by adding the angles of a spherical triangle.

To use the spherical law of cosines it is necessary to keep in mind that the sum of the spherical triangles has always resulted between 180º and 540º. This result is not constant, but must always be greater than zero.

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