The angle of elevation of the top of a tower from two points at distances "a" and "b" from the base and on the same stright line with it are complimentry . prove that the height of the tower is root ab.

plz respond fast

Let h be the height of the tower, A and B be the angles of elevation from two points at distance a and b, respectively. B = 90 - A.
Then h = a tanA and h = b tanB = b tan(90 - A) = b cotA = b/tan A
so h^2 = a tanA * b/tan A = ab
h = sqrt(ab)