Can you solve it? Part3

Geometry Level 3

Given a triangle \(ABC\). \( BL\) is the bisector of angle \(ABC\), \(H\) is the orthocenter and \(P\) is the mid-point of \(AC\). \(PH\) intersects \(BL \) at \(Q\). If \(∠ABC=β\), find the ratio \(PQ:HQ\). If \(QR⊥BC\) and \(QS⊥AB\),find on which line the orthocentre lies.

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