Where is the burned tower in pokemon soulsilver?

No. Burned Tower and Tin Tower are two different towers.

Burned Tower is the obviously damaged one you can see by just going to the north western corner of Ecruteak City.

Tin Tower is a little harder to find. Go to the far north of Ecruteak City, and enter the house next to the patch of water. Go up the stairs and outside, and you will be on a direct path to Tin Tower.