Higher November 2020 Paper 2 Q8
8. The diagram shows two right-angled triangles.
Diagram not drawn to scale
(a) Calculate the value of \(x\). [3]
(b) Calculate the value of \(y\). [3]
| Scheme | Marks | Comments |
|---|---|---|
| \((x^2=)\ 11.3^2-8.6^2\) | M1 | |
| \(x^2=53.73\) or \((x=)\ \sqrt{53.73}\) | A1 | |
| \((x=)\) 7.3(3… cm) | A1 | FT from M1 for the correctly evaluated square root of ‘their 53.73’ provided ‘their \(x \lt 11.3\)’ If no marks award SC2 for an answer of 7.3(3…) seen from use of \(8.6^2-11.3^2\) |
| Scheme | Marks | Comments |
|---|---|---|
| \(\cos(y)=8.6\div13.5\) | M1 | Accept any equivalent full method |
| \((y=)\ \cos^{-1}(8.6\div13.5)\) | m1 | |
| \((y=)\) 50(.4…..°) | A1 | |
| (6) |