A survey line was measured to be $285.5 \: m$ with a tape having a nominal length of $30 \: m$. On checking, the true length of the tape was found to be $0.05 \: m$ too short. If the line lay on a slope of $1$ in $10$, the reduced length (horizontal length) of the line for plotting of survey work would be

- $283.6 \: m$
- $284.5 \: m$
- $285.0 \: m$
- $285.6 \: m$