if a sights with a level average 100m in length and the stan

if a sights with a level average 100m in length and the standard deviation per 100m sight is 0.005m, what is the standard deviation in running a line of levels 10km long? 30 km?

Solution

Solution:-

Given

Standard deviation per 100 m length sight are 0.005 m.

10 km = 10 *1000 = 10000 meter

Standard deviation for 10 km long line = (10000/100)*0.005

                                                                        = 0.5 meter    Answer

Standard deviation for 30 km long line = (30000/100) * 0.005

                                                                      = 1.5 meter Answer