Question 111
Let $ABCD$ be a rectangle whose vertices are labeled in counterclockwise order with $AB=32$ and $AD=60$. Rectangle $AB^{\prime}C^{\prime}D^{\prime}$ is constructed by rotating $ABCD$ counterclockwise about $A$ by $60^{\circ}$. Given that lines $BB^{\prime}$ and $DD^{\prime}$ intersect at point $X$, compute $CX$.