Higher June 2023 Paper 2 Q19EduqasHigherCurrent spec6 marksAdvanced Trigonometry19.(a) Diagram not drawn to scaleCalculate the length of \(BC\). [3](b) Diagram not drawn to scaleCalculate the length of \(EF\). [3]Mark scheme (a)Mark scheme (b)Mark scheme (a)SchemeMarksCommentsDegree symbol may be missing throughout\((BC =)\ \dfrac{13}{\sin 67^\circ} \times \sin 38^\circ\)M2M1 for \(\dfrac{BC}{\sin 38^\circ} = \dfrac{13}{\sin 67^\circ}\)8.7 or 8.69(4...) (cm)A1Allow 9 from correct workingMark scheme (b)SchemeMarksComments\((EF =)\ \sqrt{6^2 + 11^2 - 2(6)(11)\cos 43}\)M2M1 for \(EF^2 = 6^2 + 11^2 - 2(6)(11)\cos 43\)(=60(.46...))7.77 to 7.8 (cm)A1Allow 8 from correct working(6)
