Question 163
The isosceles trapezoid $ABCD$ has parallel sides $AB$ and $CD$. We know that $\overline{AB}=6$, $\overline{AD}=5$ and $\angle DAB=60^{\circ}$. A ray of light is sent from $A$; it bounces off $CB$ at the point $E$ and meets $AD$ at the point $F$. If $AF=3$, compute the area of triangle $AFE$.