subjects like finance or economics, business exams often require students to perform calculations and interpret data. The ability to analyze financial statements, project revenues, and manage budgets is
essential.Communication and Writing Skills: Business exams may require students to present ideas clearly and concisely. Students must convey complex concepts in a way that demonstrates their
understanding of business principles.1.4. Preparing for Business ExamsPreparing for business exams involves mastering both conceptual understanding and practical application. Students are encouraged
to study theories and frameworks but also to keep up-to-date with current business trends. Case studies from leading businesses can be helpful, as they illustrate how business concepts are applied in real-
world scenarios. Group discussions and practicing sample case studies can aid in refining analytical skills.________________________________________2. Law Exams2.1. Overview of Law EducationLaw
education provides students with the knowledge of legal principles, case law, legal frameworks, and ethical issues. It prepares students for legal practice, with specializations that may include constitutional
law, criminal law, corporate law, human rights law, or intellectual property law.2.2. Structure of Law ExamsLaw exams typically have a more structured format compared to business exams, often
requiring students to demonstrate knowledge of legal statutes, case law, and their ability to apply legal reasoning. Common types of law exams include:Essay/Problem-Based Questions: In law exams,
students are often given hypothetical scenarios (problem questions) and
Solution Manual for
Elementary Surveying An Introduction to Geomatics 15th Edition by Charles Ghilani
Chapter 1-28
TABLE OF CONTENTS
Preface v
Part I: Solutions to Problems 1
1 Introduction 2
2 Units, Significant Figures, and Field Notes 7
3 Theory of Errors in Observations 12
4 Leveling Theory, Methods, and Equipment 18
5 Leveling — Field Procedures and Computations 25
6 Distance Measurement 36
7 Angles, Azimuths, and Bearings 42
8 Total Station Instruments; Angle Observations 49
9 Traversing 56
10 Traverse Computations 61
11 Coordinate Geometry in Surveying Calculations 73
12 Area 80
13 Global Navigation Satellite Systems—Introduction and Principles of Operation 90
14 Global Navigation Satellite Systems—Static Surveys 95
15 Global Navigation Satellite Systems—Kinematic Surveys 102
16 Adjustment by Least Squares 107
17 Mapping Surveys 119
18 Mapping 125
19 Control Surveys and Geodetic Reductions 130
20 State Plane Coordinates and Other Map Projections 137
21 Boundary Surveys 152
22 Public Land Surveys 161
23 Construction Surveying 165
24 Horizontal Curves 173
25 Vertical Curves 190
26 Volumes 200
27 Photogrammetry 210
28 Introduction to Geographic Information Systems 221
Part II: Sample Introductory Course 231
Sample Syllabus 232
Sample Practical Exercises 235
Sample Quizzes 239
, Quiz 1 239
Quiz 2 239
Quiz 3 240
Quiz 4 240
Quiz 5 241
Quiz 6 242
Sample Exams 248
challenge students to apply theoretical knowledge to real-life situations. These tests assess decision-making skills, as well as the ability to evaluate various business alternatives.Quantitative Analysis: For subjects like finance
or economics, business exams often require students to perform calculations and interpret data. The ability to analyze financial statements, project revenues, and manage budgets is essential.Communication and Writing
Skills: Business exams may require students to present ideas clearly and concisely. Students must convey complex concepts in a way that demonstrates their understanding of business principles.1.4. Preparing for Business
ExamsPreparing for business exams involves mastering both conceptual understanding and practical application. Students are encouraged to study theories and frameworks but also to keep up-to-date with current business
trends. Case studies from leading businesses can be helpful, as they illustrate how business concepts are applied in real-world scenarios. Group discussions and practicing sample case studies can aid in refining analytical
skills.________________________________________2. Law Exams2.1. Overview of Law EducationLaw education provides students with the knowledge of legal principles, case law, legal frameworks, and ethical issues. It
prepares students for legal practice, with specializations that may include constitutional law, criminal law, corporate law, human rights law, or intellectual property law.2.2. Structure of Law ExamsLaw exams typically have a
more structured format compared to business exams, often requiring students to demonstrate knowledge of legal statutes, case law, and their ability to apply legal reasoning. Common types of law exams
include:Essay/Problem-Based Questions: In law exams, students are often given hypothetical scenarios (problem questions) and
Exam 1 248
Exam 2 251
Exam 3 253
Final Exam 255
onofethicalissues,societalimplications,andapplicationsofbiologicalknowledgeinareassuchasmedicine,biotechnology,conservation,andenvironmentalsustainability.**HistoricalPerspectivrviewofsi
gnificantmilestonesandcontributionsinthedevelopmentofbiologyasascientificdiscipline,includingkeyfigures,discoveries,andadvancementsinbiologicaltheories.**ToolsandTechniques**:Introduct
iontolaboratorytechniques,instruments,andmethodologiesusedinbiologicalresearch,suchasmicroscopy,DNAsequencing,biochemicalanalysis,andcomputationalbiology.**CurrentChallengesandFr
ontiers**:Discussiononcontemporarychallengesfacingbiology,suchasemerginginfectiousdiseases,climatechangeimpacts,biodiversityloss,andtheapplicationofbiotechnologicalinnovations.**Sum
maryandKeyConcepts**:Thechapterconcludeswithasummaryofkeyconceptsdiscussed,reinforcingthefoundationalprinciplesofbiologyandpreparingstudentsforfurtherexplorationinsubsequentchapt
ers.Chapter1of"EssentialsofBiology"aimstoprovidestudentswithacomprehensiveintroductiontothescientificstudyoflife,emphasizingitsbreadth,significance,andrelevanceinunderstandingthenatural
worldandaddressingglobalchallenges.Itsetsthestagefordeeperexplorationintobiologicalconceptsandprinciplescoveredthroughoutthetextbook .Ifyouhavespecificquestionsaboutanyofthesetopicsorwouldlike
moredetailedinform challenge students to apply theoretical knowledge to real-life situations. These tests assess decision-making skills, as well as the ability to evaluate various business alternatives.Quantitative Analysis: For
subjects like finance or economics, business exams often require students to perform calculations and interpret data. The ability to analyze financial statements, project revenues, and manage budgets is
essential.Communication and Writing Skills: Business exams may require students to present ideas clearly and concisely. Students must convey complex concepts in a way that demonstrates their understanding of business
principles.1.4. Preparing for Business ExamsPreparing for business exams involves mastering both conceptual understanding and practical application. Students are encouraged to study theories and frameworks but also to
keep up-to-date with current business trends. Case studies from leading businesses can be helpful, as they illustrate how business concepts are applied in real-world scenarios. Group discussions and practicing sample case
studies can aid in refining analytical skills.________________________________________2. Law Exams2.1. Overview of Law EducationLaw education provides students with the knowledge of legal principles, case law,
legal frameworks, and ethical issues. It prepares students for legal practice, with specializations that may include constitutional law, criminal law, corporate law, human rights law, or intellectual property law.2.2. Structure of
Law ExamsLaw exams typically have a more structured format compared to business exams, often requiring students to demonstrate knowledge of legal statutes, case law, and their ability to apply legal reasoning. Common
types of law exams include:Essay/Problem-Based Questions: In law exams, students are often given hypothetical scenarios (problem questions) and
ationonaparticularaspectofChapter1,feelfreetoask!Chapter2Chapter2of"EssentialsofBiology"bySylviaMaderandMichaelWindelspecht,titled"TheChemicalBasisofLife,"typicallydelvesintothefoundationalprinciplesofchemistrya
stheyrelatetobiologicalsystems.Here‘sanoverviewofwhatyoumightfindinthischapter:**IntroductiontoBiochemistry**:Definitionofbiochemistryasthebranchofchemistryconcernedwiththechemicalprocessesandsubstancesthatoccu
rwithinlivingorganisms.**ElementsandAtoms**:Explanationofbasicchemicalelementsessentialtolife,theiratomicstructure(protons,neutrons,electrons),andhowatomscombinetoformmolecules.**ChemicalBonds**:Discussionon
differenttypesofchemicalbonds(covalent,ionic,hydrogenbonds)andtheirroleinholdingatomstogetherinmoleculesandcompounds.**PropertiesofWater**:Explorationofwaterasapolarmolecule,itsuniqueproperties(highcohesion,adh
esion,surfacetension,highspecificheatcapacity),anditsimportanceinbiologicalsystems.**Acids,Bases,andpH**:Definitionofacidsandbases,theirroleinchemicalreactions,andtheconceptofpHasameasureofhydrogenionconcentratio
n.ImportanceofpHregulationinbiologicalprocesses.**OrganicMolecules**:Introductiontoorganicmoleculesessentialforlife,includingcarbohydrates,lipids,proteins,andnucleicacids.Structure,function,andbiologicalsignificanceofe
achgroupofmolecules.**Carbohydrates**:Structureofcarbohydrates(monosaccharides,disaccharides,polysaccharides),theirrolesasenergysourcesandstructuralcomponentsincells.**Lipids**:Classificationoflipids(fats,phospholipi
ds,steroids),theirstructure,functions(energystorage,cellmembranes),androlesinbiologicalprocesses.**Proteins**:Structureofproteins(aminoacids,primary,secondary,tertiary,andquaternarystructure),functions(enzymes,structural
proteins,antibodies),andproteinsynthesis.**NucleicAcids**:Structureandfunctionofnucleicacids(DNAandRNA),includingnucleotidestructure,DNAreplication,transcription,andtranslation.**EnzymesandCatalysis**:Roleofenzy
mesasbiologicalcatalysts
, PART I:
SOLUTIONS TO PROBLEMS
2
1 INTRODUCTION
onsiderationofethicalissues,societalimplications,andapplicationsofbiologicalknowledgeinareassuchasmedicine,biotechnology,conservation,andenvironmentalsustai
nability.**HistoricalPerspectives**:Overviewofsignificantmilestonesandcontributionsinthedevelopmentofbiologyasascientificdiscipline,includingkeyfigures,
NOTE: Answers for some of these problems, and some in later chapters, can be obtained by
consulting the bibliographies, later chapters, websites, or professional surveyors.
1.1 List 10 uses for surveying in areas other than boundary surveying.
Answers may vary many are included in Section 1.6, which lists control, topographic
hydrographic, alignment, construction, as-built, mine, solar, optical tooling, ground,
aerial, and satellite surveys. This list is not complete and could also include other types of
surveys such as hydrographic surveys, for example.
challenge students to apply theoretical knowledge to real-life situations. These tests assess decision-making skills, as well as the ability to evaluate various business alternatives.Quantitative Analysis:
For subjects like finance or economics, business exams often require students to perform calculations and interpret data. The ability to analyze financial statements, project revenues, and manage
budgets is essential.Communication and Writing Skills: Business exams may require students to present ideas clearly and concisely. Students must convey complex concepts in a way that
demonstrates their understanding of business principles.1.4. Preparing for Business ExamsPreparing for business exams involves mastering both conceptual understanding and practical application.
Students are encouraged to study theories and frameworks but also to keep up-to-date with current business trends. Case studies from leading businesses can be helpful, as they illustrate how business
concepts are applied in real-world scenarios. Group discussions and practicing sample case studies can aid in refining analytical skills.________________________________________2. Law
Exams2.1. Overview of Law EducationLaw education provides students with the knowledge of legal principles, case law, legal frameworks, and ethical issues. It prepares students for legal practice,
with specializations that may include constitutional law, criminal law, corporate law, human rights law, or intellectual property law.2.2. Structure of Law ExamsLaw exams typically have a more
structured format compared to business exams, often requiring students to demonstrate knowledge of legal statutes, case law, and their ability to apply legal reasoning. Common types of law exams
include:Essay/Problem-Based Questions: In law exams, students are often given hypothetical scenarios (problem questions) and
1.2 Explain the difference between geodetic and plane surveys.
From Section 1.4:
In geodetic surveys the curved surface of the earth is considered by performing the
computations on an ellipsoid (curve surface approximating the size and shape of the
earth). In plane surveys, except for leveling, the reference base for fieldwork and
computations is assumed to be a flat horizontal surface. The direction of a plumb line
(and thus gravity) is considered parallel throughout the survey region, and all measured
angles are presumed to be plane angles.
1.3 Describe some surveying applications in:
(a) Archeology
There are many different uses of surveying in archeology. Some include using sonar
to identify possible underground or underwater archeology sites, LiDAR to help
identify possible ancient human settlements in unexplored forest and jungles, and
traditional surveying and laser scanning to help locate artifacts in site excavations.
(b) Gas exploration
There are several stages of surveying in gas exploration, which include but are not
limited to determining anomalies in the gravity field, which identify possible gas
deposits, boundary surveys identifying properties that have mineral rights to the gas
deposits, alignment surveys for placement of pipelines to transport extracted gas.
(c) Agriculture
, In agriculture, surveying is used to determine the acreage of fields, to locate lines of
constant elevation for strip farming, to track harvesting machinery to enable the size
of the harvest, and to track the position of the planting equipment to allow for precise
applications of seeds and fertilizers. The field is known as high-precision agriculture.
1.4 List some application of surveying in geology, forestry, and archeology.
Applications in each are multiple. For some in geology and archeology see the answer to
Problem 1.3 (a) and (b). Some uses of surveying in forestry identifying forest boundaries,
locating spread of diseases and insects through remote sensing, using GIS to help
inventory and keep records on resources in forested regions.
challenge students to apply theoretical knowledge to real-life situations. These tests assess decision-making skills, as well as the ability to evaluate various business alternatives.Quantitative Analysis:
For subjects like finance or economics, business exams often require students to perform calculations and interpret data. The ability to analyze financial statements, project revenues, and manage
budgets is essential.Communication and Writing Skills: Business exams may require students to present ideas clearly and concisely. Students must convey complex concepts in a way that demonstrates
their understanding of business principles.1.4. Preparing for Business ExamsPreparing for business exams involves mastering both conceptual understanding and practical application. Students are
encouraged to study theories and frameworks but also to keep up-to-date with current business trends. Case studies from leading businesses can be helpful, as they illustrate how business concepts are
applied in real-world scenarios. Group discussions and practicing sample case studies can aid in refining analytical skills.________________________________________2. Law Exams2.1. Overview
of Law EducationLaw education provides students with the knowledge of legal principles, case law, legal frameworks, and ethical issues. It prepares students for legal practice, with specializations that
may include constitutional law, criminal law, corporate law, human rights law, or intellectual property law.2.2. Structure of Law ExamsLaw exams typically have a more structured format compared to
business exams, often requiring students to demonstrate knowledge of legal statutes, case law, and their ability to apply legal reasoning. Common types of law exams include:Essay/Problem-Based
Questions: In law exams, students are often given hypothetical scenarios (problem questions) and
1.5 Why is it important to make accurate surveys of underground utilities?
To provide an accurate record of the locations of these utilities so they can be found if
repairs or servicing is needed, and to prevent their accidental destruction during
excavation for other projects.
1.6 Discuss the uses for topographic surveys.
Topographic surveys are used whenever elevation data is required in the end product.
Some examples include (1) creating maps for highway design; (2) creating maps for
construction surveys; (3) creating maps for flood plain delineation; (4) creating maps for
site location of buildings; and so on.
1.7 What are hydrographic surveys, and why are they important?
From Section 1.6, hydrographic surveys define shorelines and depths of lakes, streams,
oceans, reservoirs, and other bodies of water. Sea surveying is associated with port and
offshore industries and the marine environment, including measurements and marine
investigations made by ship borne personnel.
1.8 Print a view of your location using Google Earth.®
Answers will vary but should be an image in your region.
1.9 Briefly explain the procedure used by Eratosthenes in determining the Earth‘s
circumference.
From Section 1.3, paragraph 8 of text: His procedure, which occurred about 200 B.C., is
illustrated in Figure 1.3. Eratosthenes had concluded that the Egyptian cities of
Alexandria and Syene were located approximately on the same meridian, and he had also
observed that at noon on the summer solstice, the sun was directly overhead at Syene.
(This was apparent because at that time of that day, the image of the sun could be seen
reflecting from the bottom of a deep vertical well there.) He reasoned that at that moment,
the sun, Syene, and Alexandria were in a common meridian plane, and if he could