Course Bearing  Length Interior Angle (Right) AB S 50°54'23'' E 329.722 m A = 120°07'10'' BC   210.345 m B = 59°39'10'' CD   279.330 m C = 248°00'57

Planar Coordinates If the X and Y coordinates of A and the grid azimuth aAR are known and the horizontal distance DAB is determined , we can calculate the departure and latitude of AB , the X and Y coordinates of B as in following DAg x cosa N AB Ay AB x sina 48 AB Xg = x, + Ar Ys = yA + Ay AB AB

H.W13/ The following offsets were taken from a chain line to a hedge: Distance (m)0 10 20 30 40 80 120 160 200 210 220 Offsets (m) 21 15 16 22 Compute the area between the chain line and the end offsets by: (a) Trapezoidal Rule. (b) Simpson's Rule.

0.50 m. 1.50 m 1.50 m. 0.50 m² N B D 2.00 m F E

1. Figure 1 shows an elevation of levelling and bookings. Bridge A E BM Y BM X 85.697 m 85.160 m Figure 1 Determine the reduced levels at the various staff stations, applying the necessary arithmetical checks. 099'T 3.230 1.210 1.370 1.450 09T'E 1.720 0.980

Q3/ A survey line AB crosses a river. Line DF and CG are run perpendicular to the survey line having lengths of 100m and 200 m respectively. Another line FH is set at the right angle to DF such that point G lies on the survey line at the extension of EF and at a distance of 175m from F. Compute the distance AB. If the distances AC = 25m and EB= 75m. .B 75m LE D 100m 175m C 25m A F H 200m Tra G

A closed traverse has the following data: Line Distance (m) Bearing AB 44.47 BC 137.84 CD 12.83 N 1deg 45min E DE 64.86 N 72deg 10min E EA 107.72 S 48deg 13min E Find the bearing of line AB. O S 37deg 18min W O S35deg 30min W O S 38deg 34min W O S 36deg 26min W

a) Determine the elevation at each stations. b) Difference in elevation between the 1+20 and 2+00 c) Construct the profile of the ground.

• What is the elevation of point A? • What is the distance of the highest point from PC in meters? • What is the elevation of the highest point?

Surveying