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10 5 13 Surveying Refresher Module 1

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Room 206 JPD Building 1955 CM Recto Avenue, Manila

Telephone Number: (02) 516 7559 E-Mail: megareview_2008 @yahoo.com

REFRESHER MODULE 1 - SURVEYING


PROBLEM 6
From the given data of a different leveling as shown in the tabulation:
PROBLEM 1
A 0.65kg, 50m tape was standardized and supported throughout its whole STA. B.S. F.S. ELEV.
length and found to be 0.00205m longer at an observed temperature of 31.8°C 1 5.87 392.25
and a pull of 10KN. This tape was used to measure a 4% grade line which was 2 7.03 6.29
found to be 662.702m. During measurement, the temperature is 15°C and the 3 3.48 6.25
tape is suspended under a pull of 20KN. E=200GPa, cross-sectional area of 4 7.25 7.08
tape is 3mm2 and the coefficient of linear expansion is 0.0000116m/°C. 5 10.19 5.57
1. Compute the standard temperature. 6 9.29 4.45
a. 28.27°C b. 30.24°Cc. 26.27°C d. 32.24°C 7 4.94
2. Compute the total correction per tape length.
a. -0.2378 b. +0.2378 c. -0.2187 d. +0.2187 1. Find the diff. in elevation of station 7 and station 5.
a. 10.09m b. 8.09m c. 12.09m d. 14.09m
3. Compute the true horizontal distance. 2. Find the height of instrument at station 4.
a. 659.46m b. 659.27m c. 659.20m d. 659.35m a. 400.26m b. 396.26m c. 392.26m d. 386.26m

PROBLEM 2 PROBLEM 7
A line measures 7800m at elevation 900m. The average radius of the curvature The table shows the values of backsight, foresight & intermediate foresight
in the area is 6400km. reading taken from BM1 to BM2. Elevation of BM1 = 328.70m.
1. Compute the sea level distance.
a. 7768.90m b. 7778.90m c. 7788.90m d. 7798.90m STA. B.S. F.S. I.F.S. ELEVATION
2. Compute the reduction factor. BM1 2.32 328.70
a. 0.99886 b. 0.99986 c. 0.99686 d. 0.99786 1 1.7
2 2.2
PROBLEM 3 3 1.2
A line 125 m. long was paced by a surveyor for four times with the following 4 0.9
data 161,165, 159 and 158. Then another line was paced for five times with the TP1 2.77 3.43
following results, 520, 525, 524, 522 and 518.
5 2.2
1. Determine the pace factor.
6 3.7
a. 0.7756 b. 0.7776 c. 0.7796 d. 0.7806
2. Determine the number of paces for the new line. 7 1.6
a. 521.8 b. 519.8 c. 523.8 d. 524.8 TP2 2.22 3.06
3. Determine the distance of the new line. 8 2.8
a. 405.75m b. 402.75m c. 407.75m d. 408.75m 9 3.6
10 2.0
PROBLEM 4 11 1.1
From the measured values of distance AB, the following data were recorded. BM2 2.45
DATA DISTANCE No. OF MEASUREMENTS
1 120.68 1 1. Find the difference in elevation between stations 5 & 9.
2 120.84 4 a. 2.64m b. 2.44m c. 2.24m d. 2.74m
3 120.76 6 2. Find the elevation of TP2.
4 120.64 8 a. 325.30m b. 327.30m c. 329.30m d. 323.30m

1. Find the probable weight of data 2. PROBLEM 8


a. 4 b. 6 c. 8 d. 1 In a two peg – test of a dumpy level, the following observations were taken.
2. Find the probable error of the mean.
a. +0.0106 b. +0.0126 c. +0.0146 d. +0.0166 Instrument at C Instrument at D
3. Find the standard deviation. Rod reading on A 0.296 1.563
a. +0.0856 b. +0.0836 c. +0.0816 d. +0.0796 Rod reading on B 0.910 2.140
4. Find the standard error.
a. +0.0187 b. +0.0167 c. +0.0147 d. +0.0137 Point C is equidistant from A and B. D is 2.5m from A and 72.5m from B.
5. Find the probable distance of AB.
a. 120.72 b. 120.92 c. 120.52 d. 120.32 1. What is the difference in elevation between A and B?
a. 0.614 b. 0.624 c. 0.634 d. 0.644
PROBLEM 5 2. Determine the error in the rod reading at B with the instrument at D.
The following interior angles of a triangle traverse were measured with the a. 0.0393 b. 0.0383 c. 0.0373 d. 0.0363
same precision. 3. What is the corresponding rod reading on A for a horizontal line of sight with
ANGLE VALUE (DEGREES) No. OF MEASUREMENTS instrument still at D.
A 39 5 a. 1.574 b. 1.564 c. 1.554 d. 1.544
B 65 4
C 75 3 PROBLEM 9
Considering the effects of curvature and refraction, the difference in elevation of
1. Determine the most probable value of angle A. points B & C is found out to be 111.356m. From point A, the angle of elevation
a. 39° 15.32’ b. 39° 19.15’ c. 39° 25.53’ d. 39° 13.35’ of B is 18⁰30’ & that of C is 8⁰15’. A is between B & C.
2. Determine the most probable value of angle B. 1. If C is 2000m from A, how far is B from C?
a. 65° 13.35’ b. 65° 15.32’ c. 65° 19.15’ d. 65° 25.53’ a. 1.6km b. 1.4km c. 1.2km d. 1.0km
3. Determine the most probable value of angle C. 2. Find the elevation of A if elevation of B is 450m.
a. 75° 19.15’ b. 75° 13.35’ c. 75° 25.53’ d. 75° 19.15’ a. 48.79m b. 48.59m c. 48.19m d. 48.39m
Room 206 JPD Building 1955 CM Recto Avenue, Manila
Telephone Number: (02) 516 7559 E-Mail: megareview_2008 @yahoo.com
PROBLEM 10
Two hills A & C have elevations of 600m REFRESHER MODULE
& 800m respectively. In between A& 1 - SURVEYING
C, is hill B which has an elevation of 705m. B is located 12km from A & 10km
from C. Determine the clearance or obstruction of the line of sight if an observer
is @ A so that C will be visible from A. Ans. 3.95m
a. 3.95m (obstruction)b. 3.95m (clearance)
c. 3.75m (obstruction)d. 3.75m (clearance)

PROBLEM 11
A field is in the form of a regular pentagon. The directions of the bounding sides
were surveyed with an assumed meridian 5⁰ to the right of the true north &
south meridian. As surveyed, the bearing of one side AB is N 33⁰20’ W.
1. Compute the true bearing of Line CD.
a. S65⁰20’E b. S66⁰20’E c. S64⁰20’E d. S63⁰20’E
2. Compute the true azimuth of Line BC.
a. 220⁰40’ b. 221⁰40’ c. 222⁰40’ d. 223⁰40’

PROBLEM 12
The bearing of a line from A to B was measured as S16°30’W. It was found that
there was a local attraction at both A & B and therefore a forward and a
backward bearing were taken between A & a point C at which there was no
local attraction. If the bearing of AC was S30°10’E & that of CA was N28°20’W,
what is the corrected bearing of AB?
a. S18°20’W b. S16°20’W c. S17°20’W d. S19°20’W

PROBLEM 13
From the given closed traversed shown.

LINES BEARING DISTANCES


A-B S. 35 30’ W 44.37 m.
B-C N. 57 15’ W 137.84 m.
C-D N. 1 45’ E 12.83 m.
D-E ? 64.86 m.
E-A ? 106.72
1. Find the Bearing of line D-E.
a. N 66.17°E b. N 68.17°E c. N 70.17°E d. N 72.17°E
2. Find the Bearing of line E-A.
a. S54.2°E b. S52.2°E c. S50.2°Ed. S48.2°E

PROBLEM 14
From the data below:
LINE LATITUDE DEPARTURE
AB -36.13 -25.77
BC +74.56 -115.93
CD +12.82 +0.39
DE +19.90 +61.74
EA -68.40 +69.57

1. Solve for area by Transit Rule.


a. 6753.29m2 b. 6726.62m2 c. 6726.29m2 d. 6753.62m2
2. Solve for area by Compass Rule.
a. 6753.29m2 b. 6726.62m2 c. 6726.29m2 d. 6753.62m2

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