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Geomatics Engineering Question on Distance and angle measurement

Independent angles AOB, BOC and AOC were observed as shown in figure. The standard error of all observations is same. The adjusted values of these angles using the least squares adjustment are
Independent angles AOB, BOC and AOC were observed

A

AOB = 30°00′15′′, BOC = 30°00′00′′, AOC = 60°00′15′′

B

AOB 30°00'10", BOC = 30°00'05", AOC = 60°00'15"

C

AOB = 30°00'05", BOC = 30°00'10", AOC = 60°00'15"

D

AOB 30°00'10", BOC = 30°00'10", AOC = 60°00′20′′

Answer

AOB = 30°00′15′′, BOC = 30°00′00′′, AOC = 60°00′15′′

Explanation

Solution

The correct answer is (A) : AOB = 30°00′15′′, BOC = 30°00′00′′, AOC = 60°00′15′′