Question

1. Balance the internal angles and find the Latitude, Departure, Error of closure, and Precision Ratio for the coursed of the traverse shown below. 2- Balance the latitudes and departure by using the compass rule. N C 3. Determine the Adjusted distances and Azimuths 4. Find the coordinates of the stations B, C & D if the coordinates of station A are: 100.00N, 100.00E 8993730 121°2930 0 PR: 524230 961130 23128 A320 A N 10000 E 10000 3 N:100.00 E-100.00 81038 20" B N: E: C N: E: CD D N: E: DA Area:

Answer 1

Complete solution is given below.

17 Sum of Interior angle 960 1' 30" + 52° ta' 30"' + 121°29'30" + 89° 34' 30" 360 0 But Sum of Interian angle (n-2) 180 (4-2) 180° 360° 360° . Emor 360° 10" 0" . Conection in each angle --0070" =-8° 0'15" Comeeted Interior angles 11 96° 11' 15" 52° Add 15" B = ic 121° 29' 15" 89° 34' 15"

27 Axinoth of all the lines Ғ0 AB = 83° 3s' го" Вс - FB of ? + В 11 Во ов и 83° зв' яр" + 180° +5° 42' is" з 6° No 3 е Fo4 ср = 316° 20" 3s" - 180° + Тел° 29's" Я° 4e' sw" FB of DA= gs1° 44 o" - tso" + 89° з'is" 161°27's" • Ғp 4 KB - (67° 21' r" + 180° + +6° п's" 83° 3s' wo" Check

* Calculate Latitude and Departure of all the lines Latitude = hength x cos (Aximuth) Departure Length x Sin (Arimuth) calculate enor in catitude and Departure E Latitude Lat enor = e Departme Dep enor = complete calculation is tabulated below. ty kinean euon of closme = ✓ Elat? + Edep2 v (0.395)2 + 0,06%)2 LEC 0.401 it Accomacy ratio Linear eiron of closure perimeter of trouense 0,4 Šobx. 1074 714.79 (Accmacy ratio = 1 : 178.73

* Balancing late trude and departure Comection in Cat = - (enor in lat) x Length of line perimeter comection in Dep -Cerror in bep) * Length of line perimeter ... Balanced lat Unadjusted cat + correction in Lat Balanced Dep Unadjusted Dep + Collection in Dep * co-ordinates calculation 3,x-coordinate of point X- co-ordinate of t Dep of line previous point o y coordinate of point = y - coordinate of previous point that of line by : XA# Dep of AB (Balanced) Xo ур YA 4 Lat of AB (Balanced) All calculated values are tabulated below. * Area is calculated using co-ordinate method.

Balanced Bearing Step 1 : Find angle of line with respect to vertical Tangle = tan' (ber)) Step 2: Calculate Bearings of line which depen. on sign of hate tude and Departure. Dep hat Beasing + t Angle 180° - Angle + 180° + Angle 360° - Angle. + 11

Azimuth of line Calculated Balanced Coordinates Area by Coordinates Point Line Length Line Length Bearing 11 O Latittude Departure Latittude Departure Angle N E Plus Minus 11 0 AB A 100 100 B BC CD 231.26 207.72 122.45 153.36 83 316 257 167 38 20.00 20 35.00 49 50.00 27 5.00 25.622 150.283 -25.813 -149.697 229.836 -143.397 -119.698 33.320 25.494 150.168 -25.881 -149.782 229.816 -143.415 -119.708 33.307 83.670 43.682 77.801 12.537 83 40 11.60 316 19 4.01 25748 2.00 167 27 47.30 С 125.494 275.662 249.782 100.000 329.816 186.402 66.693 100.000 DA D AB 231.23 BC 207.65 32982 12549 CD 122.47 23392 | 90918 DE 153.44 18385 46560 Sum 714.79 249786669.3 Sum = 99737156696 Double area = 56959 Area = 28480 Sq.ft. А Sum 714.790 0.000 0.000 0.395 0.061 Lat Error Dep Error