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Elementary Surveying An Introduction to Geomatics 13th Edition Charles D. Ghilani, Paul R. Wolf - Solutions
What are the advantages of the method of least squares over methods of adjustment?
Using the data in Problem 16.29, write the linearized observation equation for the distance from Steve to Frank?
Using the data in Problem 16.29, write the linearized observation equation for the angle Wes-Dave-Frank?
Assuming a standard devastation of ( 0.001" for the azimuth line Dave-Wes, use Wolfpack to adjust the data in Problem 16.29?
Given the following inverse matrix and a standard deviation of unit weight of 1.23, determine the parameters of the error ellipse?
Given the following inverse matrix and a standard deviation of unit weight of 1.45, determine the parameters of the error ellipse?
Use Wolfpack and the following standard deviations for each observation to do a least squares adjustment of Example 10.4, and describe any difference in the solution. What advantages are there to using the least squares method in adjusting this traverse?
Three horizontal angles were observed around the horizon of station A. Their values are 165o07'54", 160o25'36" and 34o26'36". Assuming equal weighting, what are the most probable values for the three angles?
What are the standard deviations of the adjusted values in Problem 16.6?
In problem 16.6, the standard deviations of the three angles are ( 1.5", (3.0". and (4.9". respectively. What are the most probable values for the free angles?
Determine the most probable values for the x and y distances of Figure 16.2, if the observed lengths of AC, AB, and BC (in meters) are 294.081, 135.467, and 158.607, respectively?
What is a digital terrain model?
Discuss why it is important to locate breaks in grade with "breaklines" in the field if contours will be drawn using a computerized automated contouring system.
Using the labels given in parentheses in the legend of the accompanying figure create a set of notes using the drawing designators listed in Table 17.2.
How could GNSS survey methods be used where the area of interest has some overhead obstructions?
Using the rules of contours, list the contouring mistakes that are shown in the accompanying figure and list the contouring rule it violates.
Discuss how a data collector with a total station instrument can be combined with satellite surveying methods to collect data for a topographic map.
Prepare a set of field notes to locate the topographic details in Figure 17.5. Scale additional distances and angles if necessary.
Why is it dangerous to run the control traverse at the same time as planimetric data is being collected?
Cite the advantages of locating topographic details by radial methods using a total station instrument with a data collector.
What does the term "point cloud" describe in laser-scanning?
List the methods for establishing control to support a topographic mapping project.
Describe how the arbitrary coordinates of a point cloud are transformed into a conventional coordinate system.
List the different methods that can be used for a ground survey to perform a mapping survey.
Why are spot elevations placed on a map?
What two questions must be answered before designing a map?
Describe how clarity can be enhanced through the use of fonts.
What is the largest acceptable error in position for 90% of the well-defined points on a map with a 1:24,000 scale that meets national map accuracy standards.
Discuss how balance is achieved on a map.
Discuss why insets are sometimes used on maps.
If a map is to have a 1-in. border, what is the largest nominal scale that may be used for a subject area with dimensions of 604 ft and 980 ft on a paper of dimensions 24 by 36 in?
Draw 2-ft contours for the data in Plate B.2 of Appendix B.
The three-dimensional (X, Y, Z) coordinates in meters of vertexes A, B, and C in Figure 18.14 are (5412.456, 4480.621, 248.147), (5463.427, 4459.660, 253.121) and (5456.081, 4514.382, 236.193), respectively. What are the coordinates of the intersection of the 250-m contour with side AB? With side
The three-dimensional (X, Y, Z) coordinates in feet for vertices A, B, and C in Figure 18.14 are (8649.22, 6703.67, 143.86), (8762.04, 6649.77, 165.88), and (8752.64, 6770.20, 146.84), respectively. What are the coordinates of the intersections of the 150-ft contour as it passes through the sides
Similar to Problem 18.26, except compute the coordinates of the intersection of the 152- ft contour.
Discuss how contrast can be improved on a map.
At a horizontal scale of 1 in. = 50 ft, draw 2-ft contours for the area.
Similar to Problem 18.29, except at the bottom of the table add a fourth line of elevations: 79, 69, 72, 62, 61, and 65 (from left to right).
A rectangular lot running N-S and E-W is 150 by 100 ft. To locate contours it is divided into 50-ft square blocks, and the following horizontal rod readings are taken at the corners successively along the E-W lines, proceeding from west to east, and beginning with the northernmost line: 6.8, 5.6,
What design elements must be considered when laying out a map?
Why should contours be broken where labeling occurs?
Discuss why a map designed for a planning board hearing may not be the same as a map designed for an engineer?
What is the content of DTMs?
List the advantages of compiling maps using field-to-finish software?
Define the geoid and ellipsoid.
What are the possible monumentation types for a control station with a quality code of A?
If the latitude of station Gregg in Problem 19.21 was 45°22'58.6430" and the azimuth of the line was 110°33'03.8" what are the geodetic, and mark-to-mark distances for this observation? (Use the GRS80 ellipsoid).
A slope distance of 6704.511 m is observed between two stations A and B whose geodetic heights are 916.963 m and 928.578 m, respectively. The height of the instrument at the time of the observation was 1.500 m, and the height of the reflector was 1.825 m. The latitude of Station A is
In Figure 19.14 azimuth of AB is 102°36'20" and the angles to the right observed at B, C, D, E, and F are 132°01'05", 241°45'12", 141°15'01", 162°09'24", and 202°33'19", respectively. An astronomic observation yielded an azimuth of 82°24'03" for line FG. The mean latitude of the traverse is
Compute the collimation correction factor C for the following field data, taken in accordance with the example and sketch in the field notes of Figure 19.18. With the instrument at station 1, high, middle, and low cross-hair readings were 5.512, 5.401, and 5.290 ft on station A and 4.978, 3.728,
The baseline components of a GPS baseline vector observed at a station A in meters are (1204.869, 798.046, −666.157). The geodetic coordinates of the first base station are 44°27'36.0894" N latitude and 74°44'09.4895" W longitude. What are the changes in the local geodetic coordinate system of
Develop a table similar to Table 20.1 for a range of latitudes from 40°30' N to 40°39' N in the Pennsylvania North Zone with standard parallels of 40°53' N and 41°57' N, and a grid origin at (40°10' N, 77°45' W).
What are the SPCS83 coordinates (in ft) and convergence angle for a station in the North zone of Pennsylvania with geodetic coordinates of 41°12'33.0745" N and 76°23'48.9765" W?
Similar to Problem 20.13 except that the station's geodetic coordinates are 41°14'20.03582" N and 80°58'46.28764" W. Give coordinates in meters.
What are the geodetic coordinates for a point A in Problem 20.12?In problem 20.12
Similar to Problem 20.23 except for point B in Problem 20.12
For the traverse of Problem 20.27, the grid azimuth of a line from A to a nearby azimuth mark was 10°07'59" and the clockwise angle measured at A from the azimuth mark to B, 213°32'06". The measured interior angles were A= 41°12'26", B = 38°32'50", and C= 100°14'53". Balance the angles and
Using grid lengths of Problem 20.28 and grid azimuths from Problem 20.29, calculate departures and latitudes, linear misclosure and relative precision for the traverse.In Problem 20.28AB = 501.92, BC = 336.03, and CA = 317.88 ft.
If station A has SPCS83 state plane coordinates E = 634,728.082 m and N = 384,245.908 m, balance the departures and latitudes computed in Problem 20.30 using the compass rule, and determine SPCS83 coordinates of stations B and C.
The horizontal ground lengths of a four-sided closed polygon traverse were measured as follows: AB = 479.549 m, BC = 830.616 m, CD = 685.983 m and DA = 859.689 m. If the average orthometric height of the area is 1250 m, the geoidal separation is −30.0 m, and the scale factor for the traverse
For the traverse of Problem 20.33, the grid bearing of line BC is N57°39'48"W. Interior angles were measured as follows: A = 120°26'28", B = 73°48'58", C= 101°27'00", and D 64°17'26". Balance the angles and compute grid bearings for the traverse lines.
Using grid lengths from Problem 20.33 and grid bearings from Problem 20.34, calculate departures and latitudes, linear misclosure, and relative precision for the traverse. Balance the departures and latitudes by the compass rule. If the SPCS83 state plane coordinates of point B are E= 255,086.288 m
The traverse in Problems 10.9 through 10.11 was performed in the Pennsylvania North Zone of SPCS83. The average elevation for the area was 505.87 m and the average geoidal separation was −28.25 m. using the data in Table 20.1 and a mean radius for the earth, reduce the observations to grid and
The traverse in Problems 10.12 through 10.14 was performed in the New Jersey zone of SPCS83. The average elevation for the area was 234.93 m and the average geoidal separation was −32.86 m. using the data in Table 20.3 and 20.4, and a mean radius for the earth, reduce the observations to grid and
The traverse in Problem 10.22 was performed in the New Jersey SPCS 1983. The average elevation of the area was 67.2 m and the average geoidal separation was −28.5m. Using 6,371,000 m for the mean radius of the earth, reduction the observations to grid and adjust the traverse using the compass
The traverse in Problem 10.21 was performed in the Pennsylvania North Zone of SPCS83. The average elevation for the area was 367.89 m and the average geoidal separation was −30.23 m. using the mean radius of the earth of 6,371,000 m, reduce the observations to grid and adjust the traverse using
Using the defining parameters given in Example 20.10, compute oblique stereographic map projection coordinates for Station B
Explain how surveys can be extended from one state plane coordinate zone to another or from one state to another.
Define the following terms: (a) Easement (b) Subdivision surveys (c) Color of title (d) Adverse possession
What major advantage does the coordinate method of property description have over other methods?
What are the advantages of the block and lot system of describing property?
In performing retracement surveys, list in their order of importance, the four different types of measurements called for in a description.
What are the first steps in performing a subdivision survey?
Two disputing neighbors employ a surveyor to check their boundary line. Discuss the surveyor's authority if (a) The line established is agreeable to both clients (b) The line is not accepted by one or both of them.
What is required to adversely possess land?
Compute the misclosures of lots 18 and 19 in Figure 21.2. On the basis of your findings, would this plat be acceptable for recording? Explain.
What is the responsibility of a surveyor in a retracement survey?
Compute the areas of lots 18 and 19 of Figure 21-2.
Determine the misclosure of lot 50 of Figure 21.2, and compute its area.
For the accompanying figure; using a line perpendicular to AB through x, divide the parcel into two equal parts, and determine lengths xy and By.
For the figure of Problem 21.22, calculate the length of line de, parallel to BA, which will divide the tract into two equal parts. Give lengths Bd , de and eA.
Prepare a metes-and-bounds description for the parcel shown in the accompanying figure. Assume all corners are marked with 1-in.-diameter steel rods, and a 20-ft meander line setback from Indian Lake.
Prepare a metes-and-bounds description for the property shown in the accompanying figure. Assume all cornersare marked with 2-in.-diameter iron pipes.
Create a 1.25-acre tract on the westerly side of the parcel in Problem 21-26 with a line parallel to the westerly property line. Give the lengths and bearings of all lines for both new parcels.
Define common elements and limited common elements in relation to condominiums. Given examples of each.
From the property description of the parcel of tide and submerged land described in Section 21.6, compute the parcel's area.
What is the difference between the point of commencement and point of beginning in a property description?
Corners of the SE 1/4 of the NW 1/4 of Sec. 22 are to be monumented. If all section and quarter-section corners originally set are in place, explain the procedure to follow, and sketch all lines to be run and corners set.
As shown in the figure, in a normal township the exterior dimensions of Sec. 6 on the west, north, east, and south sides are 80, 78, 81, and 79 ch, respectively. Explain with a sketch how to divide the section into quarter sections.
What two factor originally governed the survey and disposition of the public lands in the U.S.?
The problem figure shows original record distances. Corners A, B, C, and D are found, but corner E is lost. Measured distances are AB = 10,602.97 ft and CD = 10,718.03 ft. Explain how to establish corner E. (See the following figure.)
What is a meander corner?
Explain the difference between "obliterated corner" and "lost corner."
Explain the value of using proportionate measurements from topographic calls in relocating obliterated or lost corners?
Describe the tangent method of establishing a standard parallel.
What is the convergence in feet of meridians for the following conditions: (a) 24 mi apart, extended 24 mi, at mean latitude 45(20( N. (b) 24 mi apart, extended 24 mi, at mean latitude 34(25( N.
What is the angular convergence, in seconds, for the two meridians defining a township exterior at a mean latitude of: (a) 42(00( N? (b) 34(00( N?
Discuss when meander corners are to be set in a public land survey.
Discuss how machine control has changed the construction project site.
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