Higher November 2023 Paper 6 Q18
18 A, B and C are points on the circumference of a circle.
Not to scale
Points C and D lie on a tangent to the circle at C.
Angle BCD = 45°.
Angle ACB = 58°.
AB = 8 cm.
Find the length of BC. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 6.67 or 6.670 to 6.671 | 4 | B1 for [BAC =] 45 soi | Accept 6.7 with working |
| AND M2 for [BC=] \(\dfrac{8 \times \sin(45 \text{ or } \textit{their}\ \text{BAC})}{\sin 58}\) or M1 for \(\dfrac{BC}{\sin(45 \text{ or } \textit{their}\ \text{BAC})} = \dfrac{8}{\sin 58}\) oe | May be seen on diagram or within M2/M1 expressions | ||