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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

  1. $283.6 \: m$
  2. $284.5 \: m$
  3. $285.0 \: m$
  4. $285.6 \: m$
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