Consider the distance from atlanta to columbus is .

The distance from atlanta to phoenix is .

The distance between phoenix to columbus is .

Draw the triangle with above specifications.

**Law of cosines :** .

.

Phe two lengths are and .

The angle is

**Law of sines :** .

The sum of the angles in any triangle is .

The two angles are and .

The remaining angle .

.

Therefore the angles are created by flight path is , and .

Therefore the angles are created by flight path is , and .

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