Height And Distance

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 \({\pi \over 8}\) and \(\theta\) be the angles of elevation from C to P and A, respectively. If the height of pole PQ is twice the height of pole AB, then tan²\(\theta\) is equal to