Question

It is assumed that the probable random error in taping 100 ft is `0.020 ft. Two distances are measured with this tape with the following results: 1527.44 and 1812.37 ft. Determine the probable total error in measuring each of the lines and then the total probable error for the two sides together.

Answer 1

Answer:

first distance $\frac{1527.44}{100} =15.2744 X 0.020= 0.305488 ft$

second distance $\frac{1812.37}{100} =18.1237X0.020=0.362474ft$

combined error=$1527.44+1812.37=3339.81\\therefor \frac{3339.81}{100} =33.3981X 0.020=0.667962ft$

Step-by-step explanation:

step 1: we divide the distance by the tapping distance error

step 2: we multiply the result in  step 1 by the error which is 0.020, the result is our probable error