4MA1/2HR Jun 2018, Question 10: Choosing the Right Trigonometric Ratio
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 4 marks
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The question, in short
Right-angled trapezium with parallel sides 16 cm and 24.3 cm and height 12.5 cm: find the angle x at C to 1 decimal place.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1Draw a line from C down to AD; it makes a right-angled triangle
- 2Base of the triangle = 24.3 − 16 = 8.3 cm, height = 12.5 cm
- 3tan y = 12.5 ÷ 8.3, so y = 56.4°, the angle at D
- 4Co-interior angles: x = 180° − 56.4° = 123.6
Answer123.6
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