The figure represents quadrilateral $PQRS$, which is made up of triangles $PQS$ and $QRS$. The marked angles are $25^\circ$ at $S$ between $SP$ and $SQ$, $72^\circ$ at $R$, and $34^\circ$ at $Q$ between $QS$ and $QP$. Also, $PQ = 7.4$ cm and $QS = 6$ cm. Diagram is NOT TO SCALE.
(a(i))[3]
Calculate $QR$.
(a(ii))[3]
Calculate $PS$.
(a(iii))[4]
Calculate the area enclosed by quadrilateral $PQRS$.
(b(i))[4]
Calculate $GX$, the part of the rod outside the box.
(b(ii))[3]
Calculate the angle formed between the rod and the base of the box.
Worked solution & mark scheme
This 17-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use the sine rule” …