Question

1. What do mean hy trigonometric levelling? How to determine the elevation of the point by trigonometric levelling? Give at least one the example 2. Some readings are omitted from the following level book. The elevation of BM-A is \( \mathbf{2 . 2 5 5 m} \) less than the elevation of BM-B. Compute the missed data and calculate the elevation of all stations. Assume that there is no apparent error in measurements. \begin{tabular}{|c|c|c|c|c|c|c|c|} \hline Station. & BS & IS & ES & Rise & Fall & Elevation & Remark \\ \hline A & 0.685 & & & & & ? & B.M \\ \hline X & 1.105 & & ? & & 1.025 & ? & \\ \hline Y & ? & & 2.435 & & ? & ? & \\ \hline Z & 1.680 & & 0.650 & 2.395 & & ? & \\ \hline S & & 1.145 & & ? & & 610.760 & \\ \hline T & 1.500 & & ? & & 0.561 & ? & \\ \hline U & ? & & 1.325 & ? & & ? & \\ \hline K & 1.640 & & 2.225 & ? & & ? & \\ \hline B & & & 0.895 & ? & & ? & BM \\ \hline \end{tabular} 3. Given with the following azimuths and determine; the bearing, back azimuth, back bearing and draw the sketch for each. A. \( 14^{0} 24^{\prime} \) C. \( 145^{\circ} 10^{\prime} \) B. \( 73^{\circ} 56 \), D. \( 337^{\circ} 15^{\prime} \) 4. Find the Azimuth and back azimuth of the following line. A). Line \( \mathrm{AB}:-\mathrm{N} 60^{\circ} \mathrm{W} \) C). Line XY: - S \( 30^{\circ} \mathrm{W} \) B). Line ED:-N80 \( { }^{\circ} \mathrm{E} \) 5. The national grid coordinates of two points, \( A \) and \( B \), are \( A \) : EA 238 824.076,NA 307911.843 ; and \( B: E B 244601.011, N B 313000.421 \) Calculate (1) The grid bearing and length of \( A B \) (2) The azimuth of \( B A \) and \( A B \) (3) The ground length \( A B \). 6. A 30 m tape weighs \( 0.12 \mathrm{~N} / \mathrm{m} \) and has a cross_ sectional area of \( 0.020 \mathrm{~cm}^{2} \). It measures correctly when supported throughout under a tension of 85 N and at a temperature of \( 20^{\circ} \mathrm{C} \). When used in the field, the tape is only supported at its ends, under a tension of 85 N , the temperature is \( 13.5^{\circ} \mathrm{C} \). Calculate the following correction to be applied under these conditions. The coefficient of thermal expansion for this tape is \( 1.15 \times 10^{-5} /{ }^{\circ} \mathrm{C} \) A. Temperature Correction (2pts) B. Sag Correction (2pts) C. Total Correction (2pts)

          1. What do mean hy trigonometric levelling? How to determine the elevation of the point by trigonometric levelling? Give at least one the example
2. Some readings are omitted from the following level book. The elevation of BM-A is \( \mathbf{2 . 2 5 5 m} \) less than the elevation of BM-B. Compute the missed data and calculate the elevation of all stations. Assume that there is no apparent error in measurements.
\begin{tabular}{|c|c|c|c|c|c|c|c|}
\hline Station. & BS & IS & ES & Rise & Fall & Elevation & Remark \\
\hline A & 0.685 & & & & & ? & B.M \\
\hline X & 1.105 & & ? & & 1.025 & ? & \\
\hline Y & ? & & 2.435 & & ? & ? & \\
\hline Z & 1.680 & & 0.650 & 2.395 & & ? & \\
\hline S & & 1.145 & & ? & & 610.760 & \\
\hline T & 1.500 & & ? & & 0.561 & ? & \\
\hline U & ? & & 1.325 & ? & & ? & \\
\hline K & 1.640 & & 2.225 & ? & & ? & \\
\hline B & & & 0.895 & ? & & ? & BM \\
\hline
\end{tabular}
3. Given with the following azimuths and determine; the bearing, back azimuth, back bearing and draw the sketch for each.
A. \( 14^{0} 24^{\prime} \)
C. \( 145^{\circ} 10^{\prime} \)
B. \( 73^{\circ} 56 \),
D. \( 337^{\circ} 15^{\prime} \)
4. Find the Azimuth and back azimuth of the following line.
A). Line \( \mathrm{AB}:-\mathrm{N} 60^{\circ} \mathrm{W} \)
C). Line XY: - S \( 30^{\circ} \mathrm{W} \)
B). Line ED:-N80 \( { }^{\circ} \mathrm{E} \)
5. The national grid coordinates of two points, \( A \) and \( B \), are \( A \) : EA 238 824.076,NA 307911.843 ; and \( B: E B 244601.011, N B 313000.421 \)

Calculate (1) The grid bearing and length of \( A B \)
(2) The azimuth of \( B A \) and \( A B \)
(3) The ground length \( A B \).
6. A 30 m tape weighs \( 0.12 \mathrm{~N} / \mathrm{m} \) and has a cross_ sectional area of \( 0.020 \mathrm{~cm}^{2} \). It measures correctly when supported throughout under a tension of 85 N and at a temperature of \( 20^{\circ} \mathrm{C} \). When used in the field, the tape is only supported at its ends, under a tension of 85 N , the temperature is \( 13.5^{\circ} \mathrm{C} \). Calculate the following correction to be applied under these conditions.

The coefficient of thermal expansion for this tape is \( 1.15 \times 10^{-5} /{ }^{\circ} \mathrm{C} \)
A. Temperature Correction (2pts)
B. Sag Correction (2pts)
C. Total Correction (2pts)

1. What do mean hy trigonometric levelling? How to determine the elevation of the point by trigonometric levelling? Give at least one the example
2. Some readings are omitted from the following level book. The elevation of BM-A is 2 . 2 5 5 𝐦 less than the elevation of BM-B. Compute the missed data and calculate the elevation of all stations. Assume that there is no apparent error in measurements.

Station. BS IS ES Rise Fall Elevation Remark

A 0.685 ? B.M

X 1.105 ? 1.025 ?

Y ? 2.435 ? ?

Z 1.680 0.650 2.395 ?

S 1.145 ? 610.760

T 1.500 ? 0.561 ?

U ? 1.325 ? ?

K 1.640 2.225 ? ?

B 0.895 ? ? BM

3. Given with the following azimuths and determine; the bearing, back azimuth, back bearing and draw the sketch for each.
A. 14^0 24^'
C. 145^∘ 10^'
B. 73^∘ 56,
D. 337^∘ 15^'
4. Find the Azimuth and back azimuth of the following line.
A). Line AB:-N 60^∘W
C). Line XY: - S 30^∘W
B). Line ED:-N80 ^∘E
5. The national grid coordinates of two points, A and B, are A : EA 238 824.076,NA 307911.843 ; and B: E B 244601.011, N B 313000.421

Calculate (1) The grid bearing and length of A B
(2) The azimuth of B A and A B
(3) The ground length A B.
6. A 30 m tape weighs 0.12 N / m and has a cross sectional area of 0.020 cm^2. It measures correctly when supported throughout under a tension of 85 N and at a temperature of 20^∘C. When used in the field, the tape is only supported at its ends, under a tension of 85 N , the temperature is 13.5^∘C. Calculate the following correction to be applied under these conditions.

The coefficient of thermal expansion for this tape is 1.15 × 10^-5 /^∘C
A. Temperature Correction (2pts)
B. Sag Correction (2pts)
C. Total Correction (2pts)

Added by Hunter S.

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