Page 5 of 6

## Problem (4)

A distance of 1400.00 ft is to be laid out with a maximum distortion of 1/50,000. The TSI used has a MSA of ±(2mm + 2ppm). The instrument operator is able to consistently set up the TSI with a centering error of ±0.004. What is the maximum reflector centering error? Express to 0.01 ft.

### Solution

#### Determine total allowable error

#### MSA constant and proportion

#### Rearrange E_{Sum} equation to solve for reflector centering

#### Reflector centering error = ±0.03 ft