Traverse with two missing lengths solved from the closure conditions
Two sides of a five-sided traverse have known directions but no measured lengths. The two closure conditions give a pair of linear equations that solve both lengths at once.
Analyze· about 26 minutes by hand· 5 steps
Given
A closed five-sided traverse A-B-C-D-E-A. All five directions were observed; two of the five lengths could not be measured because a river crosses both lines.
A-B azimuth 62°15′00″ 425.60 ft
B-C azimuth 152°20′00″ 316.85 ft
C-D azimuth 235°10′00″ length unknown
D-E azimuth 281°30′00″ 254.75 ft
E-A azimuth 340°45′00″ length unknown
The angles have already been adjusted, so the azimuths are treated as exact.
Distances to 0.01 ft.
Required
The two missing lengths, C-D and E-A.
The complete latitude and departure table.
A statement of when this method fails.
Work it through yourself before reading on - the solution below shows every step, so there is no way to skim it without giving the answer away.
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