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SOHCAHTOA (Trigonometry)

SOHCAHTOA (Trigonometry)

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Question 6
42%

A right-angled trapezoid PQRS with right angles at Q and R. Side PQ is 8 cm, side SR is 13 cm, and base QR is 20 cm. The angle SPQ is to be determined.

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.

[3]
Markscheme

SOHCAHTOA (Trigonometry) Questions

  1. GCSE
  2. /Maths
  3. /SOHCAHTOA (Trigonometry)

41 exam-style questions on AQA GCSE Maths SOHCAHTOA (Trigonometry). Each one has a worked solution and a mark scheme showing where the marks go.

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