From points P and Q, 180 meters apart, a tree at T is sighted on the opposite side of a deep ravine. From point P, a compass indicates that the angle between the north-south line and the line of sight PT is 27° and that the angle between the north-south line and PQ is 78°. From point Q, the angle between the north-south line and QT is 43°. How far from P is the tree?