(Solved): In the diagram below, \( \overrightarrow{A F} \) is tangent to \( \odot P \) at point \( D \). If \ ...

In the diagram below, \( \overrightarrow{A F} \) is tangent to \( \odot P \) at point \( D \). If \( A B=8 \) and \( B C=3 \), find \( A D \). (Note that the diagram may not be drawn to scale.) a) 44 b) \( \sqrt{11} \) c) \( 2 \sqrt{22} \) d) \( 2 \sqrt{6} \) e) \( \sqrt{33} \) f) None of the above