A swamp interferes with the direct measurement of a surveyline AB. Hence, an auxiliary point C is established and the distance AC is measured with an accuracy of 1 part in 1000. Then the angles BAC and ABC are found to be 45 and 30 degrees respectively, with a possible error of 2 minutes in each.

Find approximately the greatest possible percentage error in the computed length of AB.

The one measure of distance, and the two measures of angle had a precision level (parts per thousand) of:  1, 1.11, and 0.74; and the error in the final calculation was at 2, which was about 70% of the sum of the three errors.

Posted by Larry on 2023-10-13 15:48:46