Scale the castle wall

You spot a window, high on the East side. The wall is sheer but looks to be climbable. It is dusk so you wait a couple more minutes for darkness to truly take hold before you begin your assent. It is a difficult climb and you nearly fall, but finally you make it through the window. You find yourself in a luxuries looking room with a large metal bath tub sitting in the center. You notice steam rising slowly from the water. Just then, you hear the door rattling. To escape discovery, you duck behind the curtains.