Question 30
In the figure, $\triangle ABC$ has $\angle A=45^\circ$ and $\angle B=30^\circ.$ A line $DE,$ with $D$ on $AB$ and $\angle ADE=60^\circ,$ divides $\triangle ABC$ into two pieces of equal area. (Note: the figure may not be accurate; perhaps $E$ is on $CB$ instead of $AC.$) The ratio $\frac{AD}{AB}$ is
