# Optimize Peripheral Vision

Geometry Level 3

$$ABDC$$ is a rectangle and $$P$$ is a point on the straight line $$\overline{AB}$$. The lengths of $$\overline{AC}$$ and $$\overline{AB}$$ are 1 and $$\dfrac{2}{\sqrt3}$$, respectively. Find the maximum value of $$\theta$$ to the nearest integer.