Question
Download Solution PDFThe table below shows the data sheet from a levelling book. If the RL at station P is 550.50 m, then which of the following options is INCORRECT?
|
Station |
BS |
IS |
FS |
Remark |
|
P |
1.265 |
|
|
BM |
|
Q |
|
1.415 |
|
|
|
R |
|
1.715 |
|
|
|
S |
2.330 |
|
2.165 |
CP |
|
T |
|
|
2.930 |
|
(BS = Back Sight, IS = Intermediate Sight, FS = Fore Sight, RL = Reduced Level, BM = Bench Mark and CP = Change Point)
(All figures are in metre.)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation;
| Station | BS | IS | FS | Remark | R.L. | H.I. |
|---|---|---|---|---|---|---|
| P | 1.265 | BM | 550.50 | 551.765 | ||
| Q | 1.415 | 550.35 | ||||
| R | 1.715 | 550.05 | ||||
| S | 2.330 | 2.165 | CP | 549.6 | 551.93 | |
| T | 2.930 | 549 |
where, BS= Back sight, FS=Fore sight, IS=Intermediate Sight, CP= Change Point
R.L= Reduced Level, H.I= Height of Instrument
\(\textbf{H.I. at P:} \\ H.I. = R.L. + BS \\ H.I. \text{ at P} = 550.50 + 1.265 = 551.765 \)
\(\textbf{R.L. of Q:} \\ R.L. = H.I. - FS \\ R.L. \text{ of Q} = 551.765 - 1.415 = 550.35\)
\(R.L.\ of\ R = 551.765 - 1.715 = 550.05 \\ R.L.\ of\ S = 551.765 - 2.165 = 549.6 \\ H.I.\ at\ S: \\ H.I.\ at\ S = R.L. + BS \\ H.I.\ at\ S = 549.6 + 2.330 = 551.93 \\ R.L.\ of\ T = 551.93 - 2.930 = 549 \)
Elevation Comparison: Point P is at a higher elevation than point R.
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