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
solution by Charlie)
Note: the computed numbers on the table should be taken to be possible values of the actual distance. The computed value using 1000,45,30 is the estimate.
Your ABperfect variable is the computed value, not the true value. Error should be calculated from AB. The correct calculated percent error should be 100*(ABperfect-AB)/AB.
Of course, the numbers are so close the numbers hardly change except the signs should all be swapped.
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Posted by Jer
on 2023-10-13 13:22:43 |
re: solution
