(a(i))[1]
Evaluate the numerical value of $\frac{8\sin 54^\circ}{\sin 18^\circ}$.
(a(ii))[1]
Calculate $\sqrt{4.73^2 - 1.65\sin 43^\circ}$.
(b(i))[4]
Form an equation in $x$ and show that it reduces to $3x^2 + 9x - 247 = 0$.
(b(ii))[3]
Solve $3x^2 + 9x - 247 = 0$, giving your answers correct to $2$ decimal places.
(b(iii))[1]
Hence state the lengths of $AB$ and $AC$.
(b(iv))[2]
Determine the area of triangle $ABC$.