What is the calculated accuracy of a 2-km baseline measured with an electronic total station, given the vendor's accuracy specification of (5mm + 5ppm)?

To determine the calculated accuracy of the 2-km baseline measured with an electronic total station, we need to analyze the vendor's accuracy specification, which is given as (5mm + 5ppm).

First, break down the accuracy specification:

1. The constant error component is 5mm, which is a fixed measurement error independent of distance.
2. The variable error component is 5 parts per million (ppm). Since the baseline is 2 km (or 2000 m), we can convert this to parts for calculation:
   • 5 ppm of 2000 m means: [ 5 , \text{ppm} = \frac{5}{1,000,000} \times 2000 , \text{m} = 0.01 , \text{m} = 10 , \text{mm} ]

Next, add the fixed accuracy error and the variable accuracy error together to get the total accuracy at this distance: [ \text{Total Accuracy} = 5 , \text{mm} + 10 , \text{mm} = 15 , \text{mm} ]

To express this accuracy in terms