SAT Lines, angles, and triangles Question

Note: Figure not drawn to scale. In the figure, $\overline{AD}$ and $\overline{BC}$ intersect at point D. The measure of $\angle ABD$ is $w^{\circ }$, the measure of $\angle CAD$ is $z^{\circ }$, and $AD=186$. If $\cos w^{\circ }=\frac{9}{47}$, what is the value of $\tan z^{\circ }$?