Triangle ABC is a right triangle with \(\angle BAC = 90^\circ\). Suppose \(\overline{AP}\) is an altitude of the triangle, \(\overline{AQ}\) is an angle bisector of the triangle, and \(\overline{AR}\) is a median of the triangle, and \(\angle PAQ = 13^\circ\). If P is on \(\overline{BQ}\), then what is the measure of \(\angle RAC\)?
