That building is in the 14-story range, which puts the building at a max of 175 feet. Based on the perspective lines shown in the second photo, the flames aren’t much higher than the building... certainly not more than 25% higher than the building. That puts the flames at a max of about 200 feet high.
I am not being critical of them, they really have no way of knowing the height, but I find it neat that that’s so often the number they use.
A thousand feet is a lot more than most people realize, especially when it’s a thousand feet up! Very few cities have buildings that tall, most TV towers aren’t much more than that.