A right-angled trapezoid PQRS PQRS\,PQRS is shown. The vertices are labeled PPP (top-left), QQQ (bottom-left), RRR (bottom-right), and SSS (top-right). The base QR QR\,QR is horizontal and labeled 20 cm. The side PQ PQ\,PQ is vertical and labeled 8 cm. The side SR SR\,SR is vertical and labeled 13 cm. Right-angle symbols are shown at vertices Q Q\,Q and RRR, indicating that PQ⊥QR PQ \perp QR\,PQ⊥QR and SR⊥QRSR \perp QRSR⊥QR. The angle SPQ SPQ\,SPQ is the interior angle at vertex P P\,P between sides PQ PQ\,PQ and PSPSPS.
Work out the size of angle SPQSPQSPQ. Give your answer to 1 decimal place.
Practise Eduqas GCSE Maths SOHCAHTOA (Trigonometry) with exam-style questions for Foundation and Higher tier. 41 questions, matched to the Eduqas GCSE Maths (C300QS) specification and written in Component 1 and Component 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
