Question 11
The figure below shows a right-angled triangle $ABC$ such that $\angle BAC=90^\circ$, $\angle ABC=30^\circ$ and $AB=48$ cm. Let $P$ be a point on side $AB$ such that $CP$ is the angle bisector of $\angle ACB$ and $Q$ be a point on side $BC$ such that line $AQ$ is perpendicular to line $CP$. Determine the length of $PQ$.
Editorial note: the retained scan includes handwritten annotations. Only the printed givens transcribed above are used; a new clean checked diagram is supplied in the solution.
Editorial note: the retained scan includes handwritten annotations. Only the printed givens transcribed above are used; a new clean checked diagram is supplied in the solution.