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to form angle GEC , we join vertex C and E and also , vertex G and E .
so , line EC is the diagonal of the cuboid which is equal to
Diagonal = EC = √ ( l² + b² + h² )
=> EC = √ ( 12² + 3² + 4² )
=> EC = √ ( 144 + 9 + 16 ) = √ ( 169 ) = 13
in triangle , GEC , angle ECG = 90°
and sin ( angle GEC ) = GC / EC
=> sin ( GEC ) = 4 / 13
=> angle GEC = sin-¹ ( 4/13 ) = 17.9°
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