students learnt to the standard methods to reduce a distance measured with a steel tape

to a horizontal distance. Given the following observations and their standard deviations, calculate

the reduced horizontal distance and its uncertainty. Using the tape, we can measure the raw distance

with a standard deviation of $2mm.$

Slope distance: $45\mathrm{.}261,$ Support: Full catenary, Temperature: $28+-0\mathrm{.}5C,$ Tension: $10kg+-0\mathrm{.}5kg.,$

Zenith Angle: $92{34}^{\text{'}}{50}^{\text{'}\text{'}}+-{15}^{\text{'}\text{'}}.$