O-LevelAdditional MathematicsTrigonometry4037/22 · May/June 2010 · Q45 Marks
The diagram shows a right-angled triangle ABC in which the length of AB is 16/√2, the length of BC is 7√3 and angle BCA is θ. [Figure 4]
- (i)Find tan θ in the form a√b / c, where a and b are integers.[2]
- (ii)Calculate the length of AC, giving your answer in the form c√d, where c and d are integers and d is as small as possible.[3]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2010). The mark or mark type is shown in brackets.
- M1 for Evidence of rationalising 16/√2 or 16/(7√3) or 1/(7√6)
- A1 for 8√6 / 21 oe
- M1 for (16/√2)² + (7√3)²
- A1 for 275
- A1 for 5√11
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