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Fundamentals of Stress and Vibration 1. Mathematics for Structural mechanics
[A Practical guide for aspiring Designers / Analysts]
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[Fig 1.73: (x, y and z) coordinates of the location of interest]

The (x, y and z) coordinates are tabulated as follows:

z R sin α

x R cos α cosβ

y R cos α sinβ

Substituting the values of (α and β) for Bangalore and Coimbatore, and assuming the radius of the
earth to be 6700 kms, their locations are as follows:

Coordinates Bangalore (from Center of earth) Coimbatore (from Center of earth)

x (6700 cos 13 cos78) = 1357 Kms (6700 cos 11 cos77) = 1479.5 Kms

y 6700 cos 13 sin78 = 6385 kms 6700 cos 11 sin77 = 6408 kms

z 6700 sin 13 = 1507 kms 6700 sin 11 = 1278 kms

QP No. SSC/Q4401, Version 1.0, NSQF Level 7, Compliant with Aero and Auto Industries, Page 75