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A civil engineer used a 30-m tape in measuring an inclined distance. The measured length on the slope was recorded to be 459.20 m long.

A civil engineer used a 30-m tape in measuring an inclined distance. The measured length on the slope was recorded to be 459.20 m long. The difference in elevation between the initial and the end point was found to be 1.25 m. The 30-m tape is of standard length at a temperature of 10ºC and a pull of 5 kg. During measurement the temperature reading was 15ºC and the tape was supported at both ends with an applied pull of 7.5 kg. The cross-sectional area of the tape is 0.065 cm2 and E = 2.0 x 106 kg/cm2. The tape weighs 0.075 kg/m and has a linear expansion is 0.0000116 / ºC. Apply corrections for temperature, pull, and sag to determine the correct horizontal distance considering a gentle slope.

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