That’s a big tree, with 3.3′ diameter. How tall do you think it is?
“Growth is moderately slow, and maturity is reached in 120 to 150 years. It is not uncommon to find yellow birch trees over 300 years old. The largest yellow birch on record is 54 inches in diameter at breast height and 90 feet high, with a 6%-foot crown diameter.” http://www.fpl.fs.fed.us/documnts/usda/amwood/221birch.pdf