Let AB and PQ be two vertical poles, 160 m apart from each other. Let C be the middle point of B and Q, which are feet of these two poles. Let (π)/8…

Let AB and PQ be two vertical poles, $\displaystyle 160 m$ apart from each other. Let C be the middle point of B and Q , which are feet of these two poles. Let $\displaystyle \frac{\pi}{8}$ and $\displaystyle \theta$ be the angles of elevation from C to P and A , respectively. If the height of pole PQ is twice the height of pole $\displaystyle A B$, then $\displaystyle \tan ^2 \theta$ is equal to