Surveying Class
HOMEWORK CATEGORY ALLOCATION: This is an individual homework. NO
GROUP WORK ALLOWED.
Criteria Category Allocation
Your First Name Beginning with
Q, R, S, T, U, V, W, X, Y Z
Category 3
Your First Name Beginning with
I, J, K, L, M, N, O, P
Category 2
Your First Name Beginning with
A, B, C, D, E, F, G, H
Category 1
Hint for Question 2: Determine absolute values of latitudes and departures. Calculate bearing angles as
tan -1
(Departure/Latitude). By visually inspecting the direction of the line segment determine the
azimuth
Hint For Question 3: Calculate the forward and backward azimuths of all the directions. Then Calculate
the co-ordinates of all the points (To do this you need to first determine the latitude and departure of
each side of the traverse plot). Adding all the latitude and departure values you will find out the linear
error and thus the Precision Ratio.
REFERENCE MATERIAL: Example solved in the class from GPS lecture. The solution is also available on
Titanium.
6
This is an individual homework. NO GROUP WORK ALLOWED.
FOR CATEGORIZED LOT 1 STUDENTS
Question 1: This problem is continued from your previous homework. Consider that you got the
following Corrected Latitude and Corrected Departure. Also consider that the coordinates of point A as
given below. Using this information determine of all the remaining points of the survey.
Corrected
Latitude
Corrected
Departure
AB -38.47 18.74
BC 23.56 -37.93
CD -9.57 -12.86
DE 6.46 -10.89
EA 18.02 42.93
Coordinates of A are Northing = 300, Easting = 200
Question 2: Using the following coordinates determine the azimuths of the following directions
Coordinates
Northing Easting
A 300 200 Azimuth of AB = __________________
B 700.00 650.00
Coordinates
Northing Easting
B 950.00 50.00 Azimuth of BA = __________________
A 555.00 175.00
Coordinates
Northing Easting
P 200.00 100.00 Azimuth of QP = __________________
Q 100.00 550.00
Question 3: Mapping of a ground in front of CSUF Engineering building was done with a four sided
closed traverse. Assuming that the angle measurement is accurate, interior angles of only three
traverse stations were measured. Northing, Easting, and Elevation of stations C and D were measured
with GPS device. Rest of the surveying was done with the total station. The results obtained with field
surveying are shown in the following tables. With the provided information, please calculate the
Northing, Easting, and Elevation of stations A and B. Please calculate the precision of distance
measurement with the total station.
Table 1. Northing, Easting and Elevation obtained from GPS Survey
Traverse Station Northing (Ft) Easting (ft) Elevation (ft)
C 5500.00 8300.00 246.885
D 5932.00 8550.00 248.985
Table2. Data Recorded in the Field Book From the Survey with Total Station
Instrument
Station
Prism
Station
Horizontal
Angle
Horizontal
Distance (ft)
Vertical
Distance (ft)
B A 0 0 0’
B C 73 0 45’ 740.95 +3.8
D C 0 0 0’
D A 140 0 58’ 281.00 -5.95
A D 0 0 0’
A B 100 0 22’ 401.850 +5.845
This is an individual homework. NO GROUP WORK ALLOWED.
FOR CATEGORIZED LOT 2 STUDENTS
Question 1: This problem is continued from your previous homework. Consider that you got the
following Corrected Latitude and Corrected Departure. Also consider that the coordinates of point A as
given below. Using this information determine of all the remaining points of the survey.
Corrected
Latitude
Corrected
Departure
AB 44.15 -34.04
BC -48.38 -15.89
CD 72.36 9.14
DE -65.84 109.33
EA -2.29 -68.54
Coordinates of A are Northing = 300, Easting = 200
Question 2: Using the following coordinates determine the azimuths of the following directions
Coordinates
Northing Easting
A 325 100 Azimuth of AB = __________________
B 700.00 650.00
Coordinates
Northing Easting
B 800 50.00 Azimuth of BA = __________________
A 250.00 100.00
Coordinates
Northing Easting
P 200.00 100.00 Azimuth of QP = __________________
Q 100.00 500.00
Question 3: Mapping of a ground in front of CSUF Engineering building was done with a four sided
closed traverse. Assuming that the angle measurement is accurate, interior angles of only three
traverse stations were measured. Northing, Easting, and Elevation of stations C and D were measured
with GPS device. Rest of the surveying was done with the total station. The results obtained with field
surveying are shown in the following tables. With the provided information, please calculate the
Northing, Easting, and Elevation of stations A and B. Please calculate the precision of distance
measurement with the total station.
Table 1. Northing, Easting and Elevation obtained from GPS Survey
Traverse Station Northing (Ft) Easting (ft) Elevation (ft)
C 5500.00 8301.00 246.885
D 5932.50 8551.00 248.985
Table2. Data Recorded in the Field Book From the Survey with Total Station
Instrument
Station
Prism
Station
Horizontal
Angle
Horizontal
Distance (ft)
Vertical
Distance (ft)
B A 0 0 0’
B C 73 0 53’ 743.930 +3.835
D C 0 0 0’
D A 140 0 5’ 279.00 -5.800
A D 0 0 0’
A B 100 0 22’ 401.850 +5.750
This is an individual homework. NO GROUP WORK ALLOWED.
FOR CATEGORIZED LOT 3 STUDENTS
Question 1: This problem is continued from your previous homework. Consider that you got the
following Corrected Latitude and Corrected Departure. Also consider that the coordinates of point A as
given below. Using this information determine of all the remaining points of the survey.
Corrected
Latitude
Corrected
Departure
AB 39.51 -39.45
BC -20.55 -18.92
CD 47.16 -3.43
DE -33.58 48.80
EA -32.54 13.00
Coordinates of A are Northing = 300, Easting = 200
Question 2: Using the following coordinates determine the azimuths of the following directions
Coordinates
Northing Easting
A 100 200 Azimuth of AB = __________________
B 700.00 650.00
Coordinates
Northing Easting
B 400 50.00 Azimuth of BA = __________________
A 100.00 175.00
Coordinates
Northing Easting
P 250.00 100.00 Azimuth of QP = __________________
Q 100.00 550.00
Question 3: Mapping of a ground in front of CSUF Engineering building was done with a four sided
closed traverse. Assuming that the angle measurement is accurate, interior angles of only three
traverse stations were measured. Northing, Easting, and Elevation of stations C and D were measured
with GPS device. Rest of the surveying was done with the total station. The results obtained with field
surveying are shown in the following tables. With the provided information, please calculate the
Northing, Easting, and Elevation of stations A and B. Please calculate the precision of distance
measurement with the total station.
Table 1. Northing, Easting and Elevation obtained from GPS Survey
Traverse Station Northing (Ft) Easting (ft) Elevation (ft)
C 5510 8300.00 242.885
D 5930 8555.00 248.985
Table2. Data Recorded in the Field Book From the Survey with Total Station
Instrument
Station
Prism
Station
Horizontal
Angle
Horizontal
Distance (ft)
Vertical
Distance (ft)
B A 0 0 0’
B C 71 0 53’ 743.930 +3.835
D C 0 0 0’
D A 138 0 5’ 279.00 -5.800
A D 0 0 0’
A B 100 0 45’ 401.850 +5.750