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Elementary Surveying An Introduction to Geomatics 13th Edition Charles D. Ghilani, Paul R. Wolf - Solutions

Compute the lengths and azimuths of the sides of a closed-polygon traverse whose corners have the following X and Y coordinates (in meters): A (8000.000, 5000.000); B (2650.000, 4702.906); C (1752.028, 2015.453); D (1912.303, 1511.635).
In searching for a record of the length and true bearing of a certain boundary line which is straight between A and B, the following notes of an old random traverse were found (survey by compass and Gunter's chain, declination 4°45'W). Compute the true bearing and length (in feet) of BA.
Describe how a blunder may be located in a traverse.
Balance the angles in Problem 9.22. Compute the preliminary azimuths for each course. In Problem 9.22 A = 136o 15' 41'' B = 119 o 15' 37'' C = 93 o 48' 55'' D = 136 o 04' 17'' E = 108 o 30' 10'' F = 42 o 48' 03'' G = 63 o 17' 17''.
Balance the following interior angles (angles-to-the-right) of a five-sided closed polygon traverse using method 1 of Section 10.2. If the azimuth of side AB is fixed at 74o 31' 17'', calculate the azimuths of the remaining sides. A = 105o13' 14'' B = 92 o 36' 06'' C = 67 o 15' 22'' D = 217 o 24'
Compute departures and latitudes, linear misclosure, and relative precision for the traverse of Problem 10.6 if the lengths of the sides (in feet) are as follows: AB = 2157.34; BC = 1722.58; CD = 1318.15; DE = 1536.06; and EA = 1785.58.
Using the compass (Bowditch) rule, adjust the departures and latitudes of the traverse in Problem 10.7. If the coordinates of station A are X = 20,000 ft and Y = 15,000 ft, calculate (a) Coordinates for the other stations, (b) Lengths and azimuths of lines AD and EB, (c) The final adjusted angles
Balance the following interior angles-to-the-right for a polygon traverse to the nearest 1 using method 1 of Section 10.2. Compute the azimuths assuming a fixed azimuth of 277o 00' 04'' for line AB. A = 119 o 37' 10''; B = 106 o 12' 58''; C = 104 o 39' 22''; D = 130 o 01' 54''; E 79 o 28' 16''
A line with an azimuth of 74o 39' 34'' from a station with X and Y coordinates of 1530.66 and 1401.08, respectively, is intersected with a line that has an azimuth of 301o 56' 04'' from a station with X and Y coordinates of 1895.53 and 1348.16, respectively. (All coordinates are in feet.) What are
Same as Problem 11.9 except that the bearing of the first line is S 50o 22' 44'' E and the bearing of the second line is S 28o 42' 20'' W.
In the accompanying figure, the X and Y coordinates (in meters) of station A are 5084.274 and 8579.124, respectively, and those of station B are 6012.870 and 6589.315, respectively. Angle BAP was measured as 315o 15' 47'' and angle ABP was measured as 41o 21' 58''. What are the coordinates of
In the accompanying figure, the X and Y coordinates (in feet) of station A are 1248.16 and 3133.35, respectively, and those of station B are 1509.15 and 1101.89, respectively. The length of BP is 2657.45 ft, and the azimuth of line AP is 98o 25' 00''. What are the coordinates of station P?
In the accompanying figure, the X and Y coordinates (in feet) of station A are 7593.15 and 9971.03, respectively, and those of station B are 8401.78 and 7714.63, respectively. The length of AP is 1987.54 ft, and angle ABP is 30o 58' 26''. What are the possible coordinates for station P?
A circle of radius 798.25 ft, centered at point A, intersects another circle of radius 1253.64 ft, centered at point B. The X and Y coordinates (in feet) of A are 3548.53 and 2836.49, respectively, and those of B are 4184.62 and 1753.52, respectively. What are the coordinates of station P in the
The same as Problem 11.15, except the radii from A and B are 787.02 ft and 1405.74 ft, respectively, and the X and Y coordinates (in feet) of A are 4058.74 and 6311.32, respectively, and those of station B are 4581.52 and 4345.16, respectively.
For the subdivision in the accompanying figure, assume that lines AC, DF, GI, and JL are parallel, but that lines BK and CL are parallel to each other, but not parallel to AJ. If the X and Y coordinates (in feet) of station A are (1000.00, 1000.00), what are the coordinates of each lot corner shown?
If the X and Y coordinates (in feet) of station A are (5000.00, 5000.00), what are the coordinates of the remaining labeled corners in the accompanying figure?
In Figure 11.8, the X and Y coordinates (in feet) of A are 1234.98 and 5415.48, respectively, those of B are 3883.94 and 5198.47, respectively, and those of C are 6002.77 and 5603.25, respectively. Also angle x is 36o 59' 21'' and angle y is 44o 58' 06''. What are the coordinates of station P?
In Figure 11.8, the X and Y coordinates (in feet) of A are 4371.56 and 8987.63, those of B are 8531.05 and 8312.57, and those of C are 10,240.98 and 8645.07, respectively. Also angle x is 50o 12'45'' and angle y is 44o 58' 06''. What are the coordinates of station P?
In Figure 11.9, the following EN and XY coordinates for points A through C are given. In a 2-D conformal coordinate transformation, to convert the XY coordinates into the EN system, what are the(a) Scale factor?(b) Rotation angle?(c) Translations in X and Y?(d) Coordinates of points C in the EN
Do Problem 11.21 with the following coordinates.In problem 11.21(a) Scale factor?(b) Rotation angle?(c) Translations in X and Y?(d) Coordinates of points C in the EN coordinate system?
In Figure 11.13, the X, Y, and Z coordinates (in feet) of station A are 1816.45, 987.39, and 1806.51, respectively, and those of B are 1633.11, 1806.48, and 1806.48, respectively. Determine the three-dimensional position of the occupied station P with the following observations:v1 = 30o 06' 22''PA
In Figure 11.13, the X, Y, and Z coordinates (in meters) of station A are 135.461, 211.339, and 98.681, respectively, and those of B are 301.204, 219.822, and 100.042, respectively. Determine the three-dimensional position of occupied station P with the following observations:z1 = 119o 22' 38''PA
A line with an azimuth of 105o46' 33'' from a station with X and Y coordinates of 5885.31 and 5164.15, respectively, is intersected with a line that has an azimuth of 200o 31' 24'' from a station with X and Y coordinates of 7337.08 and 5949.99, respectively. (All coordinates are in feet.) What are
Determine the area within the traverse of Problem 10.11 using DMDs.
By the DMD method, find the area enclosed by the traverse of Problem 10.20.In problem 10.20
Compute the area within the traverse of Problem 10.17 using the coordinate method. Check by DMDs.In Problem 10.17If the coordinates in meters of point A are 6521.951 E and 7037.072 N, determine the coordinates of all other points. Find the length and bearing of line AE.
Calculate the area inside the traverse of Problem 10.18 by coordinates and check by DMDs.
Compute the area enclosed by the traverse of Problem 10.19 using the DMD method. Check by coordinates.
Find the area of the lot in Problem 10.25. In Problem 10.25Determine the lengths and bearings of the sides of a lot whose corners have the following X and Y coordinates (in feet): A (5000.00, 5000.00); B (5289.67, 5436.12); C (4884.96, 5354.54); D (4756.66, 5068.37).
Determine the area of the lot in Problem 10.26.In Problem 10.26Compute the lengths and azimuths of the sides of a closed-polygon traverse whose corners have the following X and Y coordinates (in meters): A (8000.000, 5000.000); B (2650.000, 4702.906); C (1752.028, 2015.453); D (1912.303, 1511.635).
The (X, Y) coordinates (in feet) for a closed-polygon traverse ABCDEFA follow A (1000.00, 1000.00), B (1661.73, 1002.89), C (1798.56, 1603.51), D (1289.82, 1623.69), E (1221.89, 1304.24) and F (1048.75, 1301.40) Calculate the area of the traverse by the method of coordinates.
Compute by DMDs the area in hectares within a closed-polygon traverse ABCDEFA by placing the X and Y axes through the most southerly and most westerly stations, respectively. Departures and latitudes (in meters) follow. AB: E dep. 50, N lat. = 45; BC: E dep. = 60, N lat. = 45; CD = E dep. = 45, S
Calculate the area of a piece of property bounded by a traverse and circular arc with the following coordinates at angle points: A (1275.11, 1356.11), B (1000.27, 1365.70), C (1000.00, 1000.00), D (1450.00, 1000.00) with a circular arc of radius CD starting at D and ending at A with the curve
Calculate the area of a piece of property bounded by a traverse and circular arc with the following coordinates in feet at angle points: A (526.68, 823.98), B (535.17, 745.61), C (745.17, 745.61), D (745.17, 845.61), E (546.62, 846.14) with a circular arc of radius 25 ft starting at E, tangent to
Divide the area of the lot in Problem 12.23 into two equal parts by a line through point B. List in order the lengths and azimuths of all sides for each parcel.
Partition the lot of Problem 12.24 into two equal areas by means of a line parallel to BC. Tabulate in clockwise consecutive order the lengths and azimuths of all sides of each parcel.In problem 12.24Calculate the area of a piece of property bounded by a traverse and circular arc with the following
Lot ABCD between two parallel street lines is 350.00 ft deep and has a 220.00 ft frontage (AB) on one street and a 260.00 ft frontage (CD) on the other. Interior angles at A and B are equal, as are those at C and D. What distances AE and BF should be laid off by a surveyor to divide the lot into
Partition 1-acre parcel from the northern part of lot ABCDEFA in Problem 12.21 such that its southern line is parallel to the northern line In Problem 12.21 The (X, Y) coordinates (in feet) for a closed-polygon traverse ABCDEFA follow A (1000.00, 1000.00), B (1661.73, 1002.89), C (1798.56,
Use the coordinate method to compute the area enclosed by the traverse of Problem 10.8.
Calculate by coordinates the area within the traverse of Problem 10.11.
Compute the area enclosed in the traverse of Problem 10.8 using DMDs
Define the line of apsides.
Define PDOP, HDOP, and VDOP.
Define WAAS and EGNOS.
List and discuss the ephemerides.
Briefly describe the orbits of the GLONASS satellites.
The GNSS observed height of two stations is 124.685 m and 89.969 m, and their orthometric heights are 153.104 m and 118.386 m, respectively. These stations have model-derived geoid undulations of 28.454 m and 28.457 m, respectively. What is the orthometric height of a station with a GNSS measured
Discuss the purpose of the pseudorandom noise codes.
What is the purpose of the Consolidated Space Operation Center in GPS?
Explain the differences between a static survey and rapid static survey.
List the fundamental steps involved in planning a static survey.
What variables should be considered when selecting a site for a static survey?
Why the survey vehicle should be parked at least 25 m from the observing station in a static survey?
What items should be considered when deciding which method to use for a static survey?
What items should be included in a site log sheet?
What is a satellite availability chart and how is it used?
What are CORS and HARN stations?
Why should repeat baselines be performed in a static survey?
What is the purpose of developing a site log sheet for each session?
Using loop ACFDEA from Figure 14.10, and the data from Table 14.6, what is the(a) Misclosure in the X component?(b) Misclosure in the Y component?(c) Misclosure in the Z component?(d) Length of the loop misclosure?(e) Derived ppm for the loop?In Problem 14.10
Do Problem 14.30 with loop BCFB.In Problem 14.30(a) Misclosure in the X component?(b) Misclosure in the Y component?(c) Misclosure in the Z component?(d) Length of the loop misclosure?(e) Derived ppm for the loop?
Do Problem 14.30 with loop BFDB.In Problem 14.30(a) Misclosure in the X component?(b) Misclosure in the Y component?(c) Misclosure in the Z component?(d) Length of the loop misclosure?(e) Derived ppm for the loop?
List the contents of a typical survey report.
The observed baseline vector components in meters between two control stations are (3814.244, −470.348, −1593.650). The geocentric coordinates of the control stations are (1,162,247.650, −4,655,656.054, 4,188,020.271) and (1,158,433.403, −4,655,185.709, 4,189,613.926). What are? (a) ∆X
Same as Problem 14.34 except the two control station have coordinates in meters of (−1,661,107.767, −4,718,275.246, 3,944,587.541) and (1,691,390.245, −4,712,916.010, 3,938,107.274), and the baseline vector between them was (30282.469, −5359.245, 6480.261). (a) ∆X ppm? (b) ∆Y ppm? (c)
What variables affect the accuracy of a static survey?
Why are dual-frequency and GNSS receivers preferred for high-accuracy control stations?
Discuss the differences between the stop-an-go and the true kinematic modes of surveying.
Discuss the appropriate steps used in processing PPK data.
Why is the use of a real-time network not recommended in machine control?
What is VRS?
What limitations occur in an RTK survey?
What frequencies found in RTK radios require licensure?
What are the advantages of a PPK survey over an RTK survey?
Why is it important to localize a survey?
What factors may determine the best location for a base station in a RTK survey?
What should be considered in planning a kinematic survey?
What are the advantages of an RTK survey over a PPK survey?
Why the antenna must be calibrated to the cutting edge of the blade in a machine control system.
How can ephemeral errors be eliminated in a kinematic survey?
What fundamental condition is enforced by the method of weighted least squares?
What are the standard deviations of the adjusted values in Problem 16.9?
A network of differential levels is run from existing benchmark Juniper through new stations A and B to existing benchmarks Red and Rock as shown in the accompanying figure. The elevations of Juniper, Red, and Rock are 685.65 ft, 696.75 ft, and 705.27 ft, respectively. Develop the observation
For Problem 16.11, following steps outlined in Example 16.6 perform a weighted least squares adjustment of the network. Determine weights based upon the given standard deviations. What are the(a) Most probable values for the elevations of A and B?(b) Standard deviations of the adjusted
Repeat Problem 16.12 using distances for weighting. Assume the following lengths for the problem?a) Most probable values for the elevations of A and B?b) Standard deviations of the adjusted elevation?c) Standard deviation of unit weight?d) Adjusted elevation differences and their residuals?
Repeat Problem 16.12 using the following data?a) Most probable values for the elevations of A and B?b) Standard deviations of the adjusted of A and B?c) Standard deviation of unit weight? d) Adjusted elevation difference and their residuals? (e) Standard deviations of the adjusted elevation
A network of differential levels is shown in the accompanying figure. The elevation of benchmarks A and G are 435.235 and 465.643 m, respectively. The observed elevation differences and the distances between stations are shown in the following table. Using Wolfpack, determine the(a) Most probable
Develop the observation equations for Problem 16.16Problem 16.16
A network of GNSS observations shown in the accompanying figure was made with two receivers using the static method. Known coordinates of the two control stations are in the geocentric system. Develop the observation equations for the following baseline vector components.
For Problem 16.18, construct the A and l matrices?Problem 16.18
What are the advantages of adjusting observations by the method of least squares?
For Problem 16.18, construct the covariance matrix?Problem 16.18
Use wolfpack to adjust the baselines of Problem 16.18.Problem 16.18
A network of GNSS observations shown in the accompanying figure was made with two receivers using the static method. Use Wolfpack to adjust the network, given the following data?
For Problem 16.23 write the observation equations for the baselines "Bonnie to Ray" and "Tom to Herb"?
For Problem 16.23, construct the A, X, and L matrices for the observations?
For Problem 16.23, construct the covariance matrix?
After completing Problem 16.23, convert the geocentric coordinates for station Ray and Herb to geodetic coordinates?
For the horizontal survey of the accompanying figure, determine initial approximations for the unknown stations. The observations for the survey are

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