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SOHCAHTOA (Trigonometry)

SOHCAHTOA (Trigonometry)

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Question 32

A right-angled trapezoid EFGH with right angles at F and G. Side EF is 15 m, side HG is 21 m, and base FG is 18 m. The angle HEF is to be determined.

A right-angled trapezoid EFGH EFGH\,EFGH is shown. The vertices are labeled EEE (top-left), FFF (bottom-left), GGG (bottom-right), and HHH (top-right). The base FG FG\,FG is horizontal and labeled 18 m. The side EF EF\,EF is vertical and labeled 15 m. The side HG HG\,HG is vertical and labeled 21 m. Right-angle symbols are shown at vertices F F\,F and GGG, indicating that EF⊥FG EF \perp FG\,EF⊥FG and HG⊥FGHG \perp FGHG⊥FG. The angle HEF HEF\,HEF is the interior angle at vertex E E\,E between sides EF EF\,EF and EHEHEH.

Work out the size of angle HEFHEFHEF. Give your answer to 1 decimal place.

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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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