A person's center of mass is easily found by having the person lie on a reaction board. A horizontal, \(2.3\,\text{m}\)-long, \(6.1\,\text{kg}\) reaction board is supported only at the ends, with one end resting on a scale and the other on a pivot. A \(64\,\text{kg}\) woman lies on the reaction board with her feet over the pivot. The scale reads \(27\,\text{kg}\). What is the distance from the woman's feet to her center of mass? Express your answer with the appropriate units.