M2 for DF2 = 102 + 122 – 2 × 10 × 12 cos30 oe and allow one error or M1 for \(\cos 30 = \frac{10^2 + 12^2 - DF^2}{2 \times 10 \times 12}\), condone one error
nfww i.e. not 12 × sin 30 M2 implied by DF2 = 36.15 to 36.16 if they draw a perpendicular from F to P on DG award M1 for correct method to find both FP = 5 and PG= 8.6[6…] or 8.67 or 8.7 M1 for correct use of Pythagoras’ on triangle FPD
Mark scheme (b)
Answer
Marks
Part marks and guidance
57.3[…] or 57 nfww
4
M2 for [sin B = ] \(\frac{12.4 \times \sin 63}{12.8}\)
or M1 for \(\frac{\sin B}{12.4} = \frac{\sin 63}{12.8}\) oe and M1 for 180 – 63 – their 59.67
