M4-Ex1 The following readings are taken from a page of an old level book. It is required to reconstruct the page. Fill-up missing quantities and apply the usual checks.
Station |
B.S. |
I.S. |
F.S. |
Rise |
Fall |
R.L. |
Remark |
1 |
3.125 |
|
|
|
|
? |
B.M. |
2 |
? |
|
? |
1.325 |
|
125.505 |
T.P. |
3 |
|
2.320 |
|
|
0.055 |
|
|
4 |
|
? |
|
|
|
125.850 |
|
5 |
? |
|
2.655 |
|
|
|
T.P. |
6 |
1.620 |
|
3.205 |
|
2.165 |
|
T.P. |
7 |
|
3.625 |
|
|
|
|
|
8 |
|
|
? |
|
|
123.090 |
T.B.M. |
M4-Ex2 A gradient of 1 in 120 falling from elevation 67.45 meter (Peg 1) was set out by driving pegs at 30meter intervals with the top of pegs at the required gradient. After sometime, it was suspected that some of the pegs have been disturbed. The following observations were taken for checking their levels. Calculate the error of the pegs.
S.No. |
B.S. (m) |
I.S. (m) |
F.S. (m) |
R.L. (m) |
Remarks |
1 |
1.760 |
|
|
64.134 |
B.M. |
2 |
2.643 |
|
0.723 |
|
|
3 |
1.964 |
|
1.416 |
|
|
4 |
|
0.934 |
|
|
Peg 1 |
5 |
|
1.167 |
|
|
Peg 2 |
6 |
|
1.436 |
|
|
Peg 3 |
7 |
|
1.662 |
|
|
Peg 4 |
8 |
|
1.930 |
|
|
Peg 5 |
9 |
|
2.170 |
|
|
Peg 6 |
10 |
0.530 |
|
2.434 |
|
Peg 7 |
11 |
|
0.764 |
|
|
Peg 8 |
12 |
|
1.008 |
|
|
Peg 9 |
13 |
|
1.268 |
|
|
Peg 10 |
14 |
0.611 |
|
1.211 |
|
|
15 |
|
|
1.724 |
|
B.M. |
M4-Ex3 Sighting across a lake of 20 km wide through a telescope, what is the height of the shortest tree on the opposite shore whose tip the observer can see if the height of the telescope is 1.5m above the shore line.
M4-Ex4 The following notes refer to the reciprocal levels taken with one level :
Instrument Station |
Staff reading on |
Remarks |
|
A |
B |
|
A |
2.18 |
3.835 |
Distance AB = 700 m |
|
B |
0.835 |
2.270 |
R.L. of A =352.78 m |
Find
(a) the true R.L. of B;
(b) combined correction for curvature and refraction
(c) the error in collimation adjustment of the instrument.
M4-Ex5 To find the elevation of the top of a chimney, the following observations were made from two stations P and Q, 50 m apart.
Horizontal angle at station P, between chimney and Q = 60°
Horizontal angle at station Q, between chimney and P = 50°
Angle of elevation from P to the top of chimney = 30°
Angle of elevation from Q to the top of chimney = 29°
R.L. of the line of collamination at P = 22.5 m
R.L. of the line of collamination at Q = 20.5 m
Determine the elevation of the top of the chimney. << Back |