+1443 Triangle ABC is a right triangle with \angle BAC = 90^\circ and \angle B > \angle C. 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 = 15^\circ. If P is on \overline{BQ}, then what is the measure of \angle BAP?
