\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
The diagram shows a cuboid with dimensions \(AB = 8\) cm, \(BC = 6\) cm, and \(CG = 5\) cm.
Find:
  1. The exact length of the space diagonal \(AG\).
  2. The angle that the diagonal \(AG\) makes with the base plane \(ABCD\).

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