# Environmental science

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