(i)[3]
Write $24\sin\theta-7\cos\theta$ in the form $R\sin(\theta-\alpha)$, with $R>0$ and $0^\circ<\alpha<90^\circ$. State the value of $\alpha$ correct to 2 decimal places.
(ii)[2]
Hence determine the smallest positive value of $\theta$ that satisfies the equation $24\sin\theta-7\cos\theta=17$.