Use ratio. Never complicate a simple problem.
The ratio of the shadow of stick : height of stick is 0.6 : 1.2 or 1 : 2.
Equate this ratio to that of the tower, we get 1 : 2 = 7 : x where x is the height of the tower.
Since 7 is 1 part, x is twice 7 = 14m