The angle of elevation of the top \( P \) of a vertical tower \( PQ \) of height \( 10 \) from a point \( A \) on the horizontal ground is \( 45^\circ \). Let \( R \) be a point on \( AQ \) and from a point \( B \), vertically above \( R \), the angle of elevation of \( P \) is \( 60^\circ \). If \( \angle BAQ = 30^\circ, AB = d \) and the area of the trapezium \( PQRB \) is \( \alpha \), then the ordered pair \( (d,\alpha) \) is:
