QUESTION 1 Calculate the vertical angle above or below the horizontal to STN A g

Question

QUESTION 1                     

Calculate the vertical angle above or below the horizontal to STN A given the following zenith angle observations: (show all calculation).

            FL

A

922o 4’20”

            FR

A

267o 35’00”

A surveyor sets up a total station at Station A and records trigonometric height observations to a remote target to determine the elevation of that point. Given RL 500.00 for STN A, height of instrument at STN A of 1.60m, vertical angle to remote point of +3o, target height at the remote point of 1.30m, a slope distance of 90m and ignoring curvature and refraction, calculate the Reduced Level for the remote point. (Show all calculations)

A traverse line AB has a bearing of 229o45’50” and a length of 125.50m. The coordinates of A are Easting 1179.50m and Northing 6312.18m. Calculate the coordinates of B.

QUESTION 2                     

(a)         Determine the linear misclose (bearing and distance) for the following traverse.

LINE

BRG

DIST

DEP

LAT

E

N

STN

l sin

l cos

600.000

300.000

1

1-2

4700’10”

240.000

175.5328

163.6711

2

2-3

14330’00”

281.450

167.4129

-226.2455

3

3-4

18000’00”

301.470

0.0000

-301.4700

4

4-1

31642’30”

500.100

-342.9072

364.0257

1

Misclose bearing and dist

QUESTION 2   

(b) A surveyor traversed in a loop around three stations. The surveyor observed at each respective survey station the reduced internal angle of:  

            STN A =         45o 00’10”

            STN B =         60o 00’20”

            STN C =         74o 58’30”

             Calculate the angular misclose?

(c) The true bearing of a line AB is 280°40’. Calculate the magnetic bearing if the magnetic declination was 8°30’ east.

QUESTION 3                     

(a) Within the juridical cadastre, there are four main operations that take place in the compilation of land ownership records: Adjudication; Demarcation; Survey and Documentation.

Explain the four operations.

List the order of the operation for the establishment of a new residential estate.

Explain why the order you have stated in (ii) is required.

(b) An orthophotomap is simply an orthophotograph to which a number of features have been added.

                (i)          List five of these features.

                (ii)         Describe the purpose of these features for its application as a map.

(c)        The accuracy of a GPS observation depends on a number of variables.

List and explain four (4) of these variables.

QUESTION 4                     

Given the following level traverse (booked up the page), calculate the Reduced Level at Station’s B, C, D, E and the misclose for the level traverse. Apply all checks as required and book in the table provided.

B/S

INT

F/S

RISE

FALL

RL

STNS

3.010

4.825

A

-1.815

5.365

E

3.550

0.88

D

2.670

1.260

0.14

C

1.400

0.20

B

1.600

A

Checks

            FL

A

922o 4’20”

            FR

A

267o 35’00”

Explanation / Answer

2.(C)The true bearing of a line AB is 280°40’ Calculate the magnetic bearing if the magnetic declination was 8°30’ east.

ANSWER:

For finding Magnetic bearing of a line MB= TRUE BEARING-DECLINATION as magenetic declination is towards east.

IF the Magnetic declination is towards west than MB=TRUE BEARING+DECLINATION.

HERE Declination is towards EAST so MAGNETIC BEARING=TRUE BEARING-MAGNETIC DECLINATION

                                                                                              MB=TB-DECLINATION

                                                                                              MB=280°40’-8°30’

                                         MAGNETIC DECLINATION =272°10’

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