Foundation November 2020 Paper 2 Q26
26. 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 \(x \lt 11.3\) If no marks, award SC2 for an answer of 7.3(3…cm) seen from use of \(8.6^2 - 11.3^2\) |
| Scheme | Marks | Comments |
|---|---|---|
| \(\cos(y) = 8.6 \div 13.5\) | M1 | Accept any equivalent full method |
| (\(y\) = ) \(\cos^{-1}(8.6 \div 13.5)\) | m1 | |
| (y = ) 50(.4…..°) | A1 | |
| (6) |