Hahaha, that pic is deceiving! The water heater exhaust has a 90 degree going through that wall to the left. The duct laying on the sink is the dryer duct. It was connected to that straight run going out through the wall by the window.
My house that I bought in Saint Paul had one that the person who bought it and flipped it to me had removed in my garage when I moved in. Thankfully the realtor hounded him till he came and got it. Shes a beast.