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Given

The document provides the details of a survey including line segments between points A to F, with distances, azimuths, bearings, latitudes, departures, and adjusted distances calculated using compass rule and transit rule. The results of the survey calculations show the lines segmented between the points with adjusted distances and bearings that sum to zero, indicating the survey was performed correctly.

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Pat Sison
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83 views7 pages

Given

The document provides the details of a survey including line segments between points A to F, with distances, azimuths, bearings, latitudes, departures, and adjusted distances calculated using compass rule and transit rule. The results of the survey calculations show the lines segmented between the points with adjusted distances and bearings that sum to zero, indicating the survey was performed correctly.

Uploaded by

Pat Sison
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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Given:

LINE AZIMUTH FROM NORTH CONVERTED TO BEARING DISTANCE


AB 5⁰30’ N 5⁰30’ E 495.85m
BC 46⁰02’ N 46⁰02’ E 850.62m
CD 112⁰22’ S 67⁰38’ E 855.45m
DE 167⁰35’ S 12⁰25’ E 1020.87m
EF 263⁰44’ S 83⁰44’ W 1117.26m
FA 304⁰51’ N 55⁰9’ E 660.08m
ΣD=5000.13m

COMPAS RULE:
LAT=Distance*Cos(Ө)

AB= 495.85m*Cos(5⁰30’) =493.567m

BC= 850.62m*Cos(46⁰02’) =590.534m

CD= 855.45m*Cos(67⁰38’) =-325.526m

DE= 1020.87m*Cos(12⁰25’) =-996.992m

EF= 1117.26m*Cos(83⁰44’) =-121.956m

FA= 660.08m*Cos(55⁰9’) =377.189m

EL =16.816m

𝑫𝑰𝑺𝑻𝑨𝑵𝑪𝑬
CL=-EL( ) Corrected Lat
𝜮𝑫𝑰𝑺𝑻𝑨𝑵𝑪𝑬

495.85𝑚
AB= -16.816m( ) =-1.668 493.567m-1.668 =491.899m
5000.13m

850.62𝑚
BC= -16.816m( ) =-2.861 590.534m-2.861 =587.673m
5000.13m

855.45𝑚
CD= -16.816m( ) =-2.877 -325.526m-2.877 =-328.403m
5000.13m

1020.87𝑚
DE= -16.816m( ) =-3.433 -996.992m-3.433 =-1000.425m
5000.13m

1117.26𝑚
EF= -16.816m( ) =-3.757 -121.956m-3.757 =-125.713m
5000.13m

660.08𝑚
FA= -16.816m( ) =-2.220 377.189m-2.220 =374.969m
5000.13m

Σ=0
DEP= Distance*Sin(Ө)

AB= 495.85m* Sin(5⁰30’) =47.525m

BC= 850.62m* Sin(46⁰02’) =612.228m

CD= 855.45m* Sin(67⁰38’) =791.092m

DE= 1020.87m* Sin(12⁰25’) =219.507m

EF= 1117.26m* Sin(83⁰44’) =-1110.584m

FA= 660.08m* Sin(55⁰9’) =-5410695m

EL =18.073m

𝑫𝑰𝑺𝑻𝑨𝑵𝑪𝑬
CL=-EL( ) Corrected Dep
𝜮𝑫𝑰𝑺𝑻𝑨𝑵𝑪𝑬

495.85𝑚
AB= -18.073m ( ) =-1.792 47.525m-1.792 =45.733m
5000.13m

850.62𝑚
BC= -18.073m ( ) =-3.072 612.228m-3.072 =609.153m
5000.13m

855.45𝑚
CD= -18.073m ( ) =-3.092 791.092m-3.092 =788m
5000.13m

1020.87𝑚
DE= -18.073m ( ) =-3.690 -219.507m-3.690 =215.817m
5000.13m

1117.26𝑚
EF= -18.073m ( ) =-4.038 -1110.584m-4.038 =-1114.622m
5000.13m

660.08𝑚
FA= -18.073m ( ) =-2.386 18.073m-2.386 =-544.081m
5000.13m

Σ=0

Adjusted Distance=√𝐋𝐀𝐓 𝟐 + 𝐃𝐄𝐏 𝟐

AB= √(491.899m)2 + (45.733m)2 =494.020m

BC= √(587.673m)2 + (609.153m)2 =846.420m

CD= √(328.403m)2 + (788m)2 =853.693m

DE= √(1000.425m)2 + (215.817m)2 =1023.439m

EF= √(125.713m)2 + (1114.622m)2 =1121.689m


FA= √(374.969m)2 + (544.081m)2 =660.777m

𝑫𝑬𝑷
ADJ BEARING=Tan-1( ) Az.NORTH
𝑳𝑨𝑻

45.733m
AB = Tan-1( ) =N 5⁰18’41.95” E =5⁰18’41.95”
491.899m

609.153m
BC = Tan-1( ) =N 45⁰1’41.53” E =45⁰1’41.53”
587.673m

788m
CD = Tan-1( ) =S 67⁰22’32.95” E =112⁰37’27.05”
328.403m

215.817m
DE = Tan-1( ) =S 12⁰10’24.94” E =167⁰49’35.06”
1000.425m

1114.622m
EF = Tan-1( ) =S 83⁰33’54.25” W =263⁰33’54.25”
125.713m

544.081m
FA = Tan-1( ) =N 55⁰25’34.39” W =304⁰34’25.61”
374.969m

COMPAS RULE
LINE Azimuth NORTH BEARING DISTANCE
AB 5⁰18’41.95” N 5⁰18’41.95” E 494.020m
BC 45⁰1’41.53” N 45⁰1’41.53” E 846.420m
CD 112⁰37’27.05” S 67⁰22’32.95” E 853.693m
DE 167⁰49’35.06” S 12⁰10’24.94” E 1023.439m
EF 263⁰33’54.25” S 83⁰33’54.25” W 1121.689m
FA 304⁰34’25.61” N 55⁰25’34.39” W 660.777m

TRANSIT RULE:
LAT=Distance*Cos(Ө)

AB= 495.85m*Cos(5⁰30’) =493.567m

BC= 850.62m*Cos(46⁰02’) =590.534m

CD= 855.45m*Cos(67⁰38’) =-325.526m

DE= 1020.87m*Cos(12⁰25’) =-996.992m

EF= 1117.26m*Cos(83⁰44’) =-121.956m

FA= 660.08m*Cos(55⁰9’) =377.189m


l∑l=2905.764

EL=16.816

𝒍𝑨𝑻
CL=-EL( ) Corrected Lat
𝑰∑𝑰 𝑳𝑨𝑻

493.567m
AB= -16.816 ( ) =-2.856 =493.567m-2.856 =490.711
2905.764m

590.534m
BC= -16.816 ( ) =-3.417 =590.534m-3.417 =587.117
2905.764m

325.526m
CD= -16.816 ( ) =-1.884 =-325.526m-1.884 =-327.410
2905.764m

996.992m
DE= -16.816 ( ) =-5.770 =-996.992m-5.770 =-1002.762
2905.764m

121.956m
EF= -16.816 ( ) =-0.706 =-121.956m-0.706 =-122.662
2905.764m

377.189m
FA= -16.816 ( ) =-2.183 =377.189m-2.183 =375.006
2905.764m

∑=0

DEP= Distance*Sin(Ө)

AB= 495.85m* Sin(5⁰30’) =47.525m

BC= 850.62m* Sin(46⁰02’) =612.228m

CD= 855.45m* Sin(67⁰38’) =791.092m

DE= 1020.87m* Sin(12⁰25’) =219.507m

EF= 1117.26m* Sin(83⁰44’) =-1110.584m

FA= 660.08m* Sin(55⁰9’) =-541.695m

l∑l= 3322.63m

EL=18.073m

𝑫𝑬𝑷
CL=-EL( ) Corrected Dep
𝑰𝜮𝑰𝑫𝑬𝑷
47.525m
AB= 18.073m( ) =-0.25 =47.525m-0.25 =47.266
3322.63m

612.228m
BC= 18.073m( ) =-3.330 =612.228m-3.330 =608.898
3322.63m

791.092m
CD= 18.073m( ) =-4.303 =791.092m-4.303 =796.789
3322.63m

219.507m
DE= 18.073m( ) =-1.194 =219.507m-1.194 =218.313
3322.63m

1110.584m
EF= 18.073m( ) =-6.041 =-1110.584m-6.041 =-1116.625
3322.63m

541.695m
FA= -18.073m( ) =-2.947 =-541.695m-2.947 =-544.642
3322.63m

∑=-0.001

Adjusted Distance=√𝐋𝐀𝐓 𝟐 + 𝐃𝐄𝐏 𝟐

AB= √490.711m2 + 47.266m2 =492.982

BC= √587.117m2 + 608.898m2 =845.851

CD= √A327.410m2 + 796.789m2 =852.194

DE= √1002.762m2 + 218.313m2 =1026.252

EF= √122.662m2 + 1116.625m2 =1123.342

FA= √375.006m2 + 544.642m2 =661.260

𝑫𝑬𝑷
ADJ BEARING=Tan-1( ) Az.NORTH
𝑳𝑨𝑻

47.226
AB = Tan-1( ) =N 5⁰29’49.96” E =5⁰29’49.96”
490.711

608.898
BC = Tan-1( ) =N 46⁰2’35.94” E =46⁰2’35.94”
587.117

786.789
CD = Tan-1( ) =S 67⁰24’22.04” E =112⁰35’37.96”
327.410

218.313
DE = Tan-1( ) =S 12⁰16’56.28” E =167⁰43’3.72”
1002.762

1116.625
EF = Tan-1( ) =S 83⁰43’53.16” W =263⁰43’53.16”
122.662

544.642
FA = Tan-1( ) =N 55⁰27’4.19” W =304⁰32’55.81”
375.006
TRANSIT RULE
LINE Azimuth NORTH BERARING DISTANCE
AB 5⁰30’6.62” N 5⁰30’6.62” E 492.982
BC 46⁰2’35.94” N 46⁰2’35.94” E 845.851
CD 112⁰35’37.86” S 67⁰24’22.14” E 852.194
DE 167⁰43’3.72” S 12⁰16’56.28” E 1026.252
EF 263⁰43’53.16” S 83⁰43’53.16” W 1123.342
FA 304⁰32’55.81” N 55⁰27’4.19” W 661.260
ILLUSTRATION:

E
F

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