I know you're not going to want to hear this but the answer is - It depends.
On the particular ship class, time frame and navy. I assume you're talking US Navy? Based on my limited recollections of crawling around a couple of WWII-era battleships, the boat booms were hinged metal poles that were about 10 inches in diameter and - going on memory here - about 25-feet long.
On smaller ships, the boat booms are going to be shorter and perhaps not as large a diameter. When you get down to the smallest craft, such as destroyer escorts, corvettes, minesweepers, etc., many did not have boat booms at all.