Probability — practice question

A particle with mass $0.24\text{ kg}$ is fixed to one end of a light inextensible string of length $2\text{ m}$. The opposite end of the string is secured at a fixed point. The particle travels at constant speed in a horizontal circle. The string is inclined at an angle $\theta$ to the vertical (see diagram), and the tension in the string is $T\text{ N}$. The particle’s acceleration has magnitude $7.5\text{ m s}^{-2}$.