Question 47
Let $ABC$ be a right-angled triangle with $\angle BAC = 90^{\circ}$, $\angle ABC = 70^{\circ}$, and $AB = 1$. Let $M$ be the midpoint of $BC$. Let $D$ be the point on the extension of $AM$ beyond $M$ such that $\angle CDA = 110^{\circ}$. Find the length of $CD$.