In the diagram, A, B and D are fixed points such that $AB = 25\text{ cm}$, $AD = 35\text{ cm}$ and angle $BAD = 90^\circ$. Angle $BAC = \theta$ and can vary. $AC$ is perpendicular to $BC$, $EA$ is perpendicular to $AC$, and $DE$ is perpendicular to $EA$.

1. (ii)

   When $\theta = 20^\circ$, find the coordinates of the point of contact for which the line is a tangent to the curve.