1.103: 3D angles in a pyramid

A right pyramid $ABCDE$ has a square base $ABCD$ of side 10 cm. The height of the pyramid is 8 cm.

(a) Find, to 3 significant figures, the length of $AE$. (3)

(b) Find, in degrees to the nearest degree, the size of the angle between the plane $ABE$ and the base $ABCD$. (3)