Energy, work and power — practice question

The combined mass of the cyclist and her bicycle is $70\,\text{kg}$. She is climbing a straight hill at constant power of $180\,\text{W}$, with the hill inclined at an angle $\alpha$ to the horizontal, where $\sin \alpha = 0.05$. At the instant when her speed is $6\,\text{m s}^{-1}$, her acceleration is $-0.2\,\text{m s}^{-2}$. A constant resistive force of magnitude $F\,\text{N}$ acts against the motion.