Higher June 2024 Paper 2 Q10
10 The diagram shows two right-angled triangles.
All lengths are measured in centimetres.
Given that
\(\sin a = \tan b\)
work out the value of \(x\). (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| 1.25 | B1 | for \((\sin a =)\ \dfrac{7 - 2x}{8}\) or \((\tan b =)\ \dfrac{1 + x}{4}\) |
| P1 | for start of a process to solve \(\dfrac{7 - 2x}{8} = \dfrac{1 + x}{4}\), eg \(4(7 - 2x) = 8(1 + x)\) or \(28 - 8x = 8 + 8x\) or \(7 - 2x = 2(1 + x)\) or \(7 - 2x = 2 + 2x\) or \(\dfrac{7 - 2x}{8} = \dfrac{2(1 + x)}{8}\) or \(\dfrac{7 - 2x}{8} = \dfrac{2x + 2}{8}\) | |
| A1 | for 1.25 oe |
Additional guidance
Must come from a correct equation