Historically, it is because we live on a planet which is approximately spherical. 2-dimensional trigonometry was adequate for relatively small shapes where the curvature of the earth had negligible effect. For larger shapes the spherical nature of the earth was important and therefore, so was spherical trigonometry.
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For navigational purposes
it helps human to servie
Trigonometry is a type of math math=success once you know math you can do anything! Think of one job that DOESN'T include math. Some Jobs like being a scientist or a mathematician include trigonometry
plane trigonometry spherical trigonometry
We live on a sphere. Calculating 'shortest' distance on the sphere is not a simple trig problem, you may need spherical trig.