# Numerical solution of the question...At what depth below the surface of earth,the value of 'g' is same as depth at a height 64 km above the surface of the earth. ???

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At depth d below the earth's surface, g' = g*[1 - d/R]

given that h = 64km

R = 6371km

d = ?

g*[R²/(R+h)²] = g*[1 - d/R]

⇒ R²/(R+h)² = 1 - d/R

⇒ 6371² / (6371+64)² = 1 - d/6371

⇒ 0.9802 = 1 - d/6371

⇒ d/6371 = 1-0.9802 = 0.0192

⇒ d = 6371*0.0192

⇒ d = 126 km

The depth is 126km.