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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