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The diagram shows a right wedge-shaped prism whose cross-section \(ABC\) is a right-angled triangle. The dimensions are \(AB = 15\) cm, \(BC = 8\) cm, and the length of the prism is \(30\) cm (so \(CF = 30\) cm).
Find:
The exact length of the space diagonal \(AF\).
The angle that the diagonal \(AF\) makes with the vertical face \(BCFE\).
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