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4MA1/1HR Jan 2020, Question 15: Choosing the Right Trigonometric Ratio

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 4 marks

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The question, in short

Using the two right-angled triangles DEF and EFG in the diagram, calculate the length of side EG, giving the result to 3 significant figures.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Solution · 4 marks

  1. 1In triangle DEF: EF = 12 × cos 40° = 9.192…
  2. 2In triangle EFG: tan 28° = EF ÷ EG
  3. 3EG = 9.192… ÷ tan 28° = 17.3

Answer17.3

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