Higher June 2023 Paper 3 Q10
10 Use trigonometry to work out the value of \(x\). [3 marks]
Not drawn accurately
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 – using tangent of an angle | ||
| tan chosen or used | M1 | |
| \(\tan 58 = \dfrac{x}{46}\) or \(46 \times \tan 58\) or \(\tan 32 = \dfrac{46}{x}\) or \(\dfrac{46}{\tan 32}\) | M1dep | oe |
| [73.6, 74] | A1 | |
| Alternative method 2 – finding hypotenuse first | ||
| \(\dfrac{46}{\cos 58}\) or \(\dfrac{46}{\sin 32}\) or 86.8(…) or 87 | M1 | oe |
| \(\sqrt{(\text{their } 86.8(\ldots))^2 - 46^2}\) or \(\sqrt{5418.(\ldots)}\) or their \(86.8(\ldots) \times \sin 58\) or their \(86.8(\ldots) \times \cos 32\) | M1dep | oe |
| [73.6, 74] | A1 | |
Additional guidance
| Do not accept scale drawing | |
| Answer 73 after answer in range seen | M1M1A1 |
| \(\dfrac{\sin 32}{46} = \dfrac{\sin 58}{x}\) | M1 |