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.
(In reply to
re: solution by Jer)
The intention was that ABperfect is the actual distance if the measurement were perfect.
Yes, if the AB's are the purported actual values, the sign is wrong, but I neglected that as I wasn't really concerned with the sign of the and overlooked it.
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Posted by Charlie
on 2023-10-13 14:00:33 |