A tower is observed from two stations A and B where B is last of A at a distance 100 m. The tower is due north of A and due northwest of B.
The angles of elevation of the tower from A and B are complementary. Find the height of the tower.
Let the height of the tower PQ be h and A, B are the two points of observation is AB = 100m. B is northwest of A and the point Q is due north of A.
From the right angled triangle AQP and BQP, we have
