Cartesian coordinates X and Y of point A are given as follows. The distance from A to B has been measured 5 times in a repeated manner and the results are given below. The Azimuth Angle from point A to B is (AB) 52°.3527. If the coordinate calculation accuracy is expected as + 3 cm in both directions of x and y, calculate to Cartesian coordinates of point B with the mentioned accuracy? To make a decision about a final single distance value use blunder analysis, mean values and standard deviations. Your distance measurements do only possess Blunders, but they do not have Systematic and Random Errors. Point Coordinates X (meters) 5000.00 Y (meters) 3500.00 Distance from Measurements point A to B 1 (Meters) 100.05 100.09 2 3 100.13 4 100.15 5 100.17

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter7: Triangles
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Cartesian coordinates X and Y of point A are given as follows. The distance from A to B has
been measured 5 times in a repeated manner and the results are given below. The Azimuth
Angle from point A to B is (AB) 52°.3527. If the coordinate calculation accuracy is expected as
+ 3 cm in both directions of x and y, calculate to Cartesian coordinates of point B with the
mentioned accuracy? To make a decision about a final single distance value use blunder
analysis, mean values and standard deviations. Your distance measurements do only possess
Blunders, but they do not have Systematic and Random Errors.
Point Coordinates
X (meters)
5000.00
Y (meters)
3500.00
Distance from
point A to B
1
Measurements
(Meters)
100.05
100.09
2
3
100.13
4
100.15
5
100.17
Transcribed Image Text:Cartesian coordinates X and Y of point A are given as follows. The distance from A to B has been measured 5 times in a repeated manner and the results are given below. The Azimuth Angle from point A to B is (AB) 52°.3527. If the coordinate calculation accuracy is expected as + 3 cm in both directions of x and y, calculate to Cartesian coordinates of point B with the mentioned accuracy? To make a decision about a final single distance value use blunder analysis, mean values and standard deviations. Your distance measurements do only possess Blunders, but they do not have Systematic and Random Errors. Point Coordinates X (meters) 5000.00 Y (meters) 3500.00 Distance from point A to B 1 Measurements (Meters) 100.05 100.09 2 3 100.13 4 100.15 5 100.17
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