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Problem 3 (30 points)

A leveling survey was conducted to establish a profile of a highway. The recorded leveling data

are presented in a table below.

a) Reduce the levels by the height of instrument method and apply appropriate checks

b) The station 10 is a bench mark having elevation of 217.76 ft., determine the misclosure

and adjust the calculated values of the levels by applying necessary corrections.

c) Use a spreadsheet to prepare a diagram of a profile view (Hints: x-axis = distances, y-axis

= corrected elevations)

Station

1

2

3

4

5

6

7

8

9

10

Σ

Check:

Distance

(ft)

0

50

100

150

200

250

300

350

400

450

BS

1.96

8.49

7.36

4.38

IS

5.13

6.27

1.23

12.37

1.97

FS

10.28

4.99

6.51

6.57

HI

RL Correction

Corrected

RL

Remarks

BM= 223.86 ft

Turning Point

Turning Point

Turning Point

BM= 217.76 ft

Readings in feet

BS = Backsight reading, IS = Intermediate reading, FS = Foresight reading, BM = Bench Mark, HI =

Height of Instrument, and RL = Reduced Level or elevation of a survey point

Fig: 1