Higher November 2024 Paper 2 Q13
13 Two right-angled triangles are joined to make a larger triangle.
Not drawn accurately
Work out the size of angle \(x\). [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(\tan 38 = \dfrac{h}{15}\) or \(\left(\dfrac{15}{\cos 38}\right)^2 - 15^2\) or [137.3, 137.342] | M1 | oe eg \(\tan (90 - 38) = \dfrac{15}{h}\) or \(\dfrac{\sin 38}{h} = \dfrac{\sin 52}{15}\) any letter or phrase for \(h\) eg opposite |
| \(15 \times \tan 38\) or \(\sqrt{\left(\dfrac{15}{\cos 38}\right)^2 - 15^2}\) or [11.7, 11.72] | M1dep | oe eg \(15 \div \tan (90 - 38)\) or \(\dfrac{15 \sin 38}{\sin 52}\) |
| \(\sin x = \dfrac{\text{their } [11.7, 11.72]}{14}\) or \(\sin x = [0.835, 0.84]\) | M1dep | oe eg \(\sin x = \dfrac{\sin 90}{14} \times\) their [11.7, 11.72] implied by \(\sin^{-1} [0.835, 0.84]\) |
| [56.6, 57.14012] | A1 |
Additional guidance
Up to M2 may be awarded for correct work with no answer or incorrect answer, even if this is seen amongst multiple attempts