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PROBLEMS
Asterisks (*) indicate problems that have partial answers given in Appendix G.
7.1 Define the different reference meridians that can be used for the direction of a line.
7.2 List the three basic requirements in determining an angle.
7.3 Why is it important to adopt a standard angle measuring procedure, such as always
measuring angles to the right?
7.4 What is the relationship of a forward and back azimuth?
7.5 Convert: *(a) 203°26'48" to grads (b) 2.341539 radians to degrees, minutes, and seconds
(c) 43°38'05" to radians.
In Problems 7.6 through 7.7, convert the azimuths from north to bearings, and com-
pute the angles, smaller than 180° between successive azimuths.
7.6 43°00'36", 141º25'34", 230°12'20", and 330°35'48"
7.7 98°12'55", 153°26'40", 192°56'22", and 288°12'50"
Convert the bearings in Problems 7.8 through 7.9 to azimuths from north and com-
pute the angle, smaller than 180°, between successive bearings.
7.8 N44°50'38"E, S38°42'54"E, S45°06'02"W, and N13°24"30"W
7.9 N32°42'38"E, S54°02'02"E, S22°42'56"W, and N44°35'26"W
Compute the azimuth from north of line CD in Problems 7.10 through 7.12.
(Azimuths of AB are also from north.)
7.10* Azimuth AB = 101°26'32"; angles to the right ABC = 50°54'26", BCD = 38°36'38".
7.11 Bearing AB = S74°26'12"E; angles the right ABC = 98°20'06",
BCD = 104°21'08".
7.12 Azimuth AB = 275°32'20"; angles to the right ABC = 66°36'10", BCD = 82016"24".
7.13* For a bearing DE = N08°53'56"W and angles to the right, compute the bearing of
FG if angle DEF = 88°12'29" and EFG = 40°20'30".
7.14 Similar to Problem 7.13, except the azimuth of DE is 12°02'18" and angles to the
right DEF and EFG are 21°44'52" and 86°10'14", respectively.
Course AB of a five-sided traverse runs due north. From the given balanced interior
angles to the right, compute and tabulate the bearings and azimuths from north for each
side of the traverses in Problems 7.15 through 7.17.
7.15 A = 82°13'15", B 106°35'18", C = 28°45'06", D = 205°14'56", E = 117°11'25"
7.16* A 90°29'18", B = 107°54'36", C = 104°06'37", D = 129°02'57", E = 108°26'32"
7.17 A = 156°23'48", B = 41°37'02", C = 94°30'15", D = 154°11'50", E = 93°17'05"
In Problems 7.18 through 7.20, compute and tabulate the azimuths of the sides of a
regular pentagon (polygon with five equal angles), given the starting direction of side AB.
7.18 Bearing of AB = N37°26'05"E (Station C is westerly from B.)
7.19 Azimuth of AB = 207°53'14" (Station C is westerly from B.)
7.20 Azimuth of AB = 202°02'00" (Station C is easterly from B.)
Compute azimuths of all lines for a closed traverse ABCDEFA that has the fol-
lowing balanced angles to the right, using the directions listed in Problems 7.21 and
7.22. FAB = 118°26'59", ABC = 123°20'28", BCD = 104°10'32", CDE = 133°52'50",
DEF = 108°21'58", EFA = 131°47'13".
7.21 Bearing AB = N88°18'42"W.
7.22 Azimuth DE = 36°10'20".
7.23 Similar to Problem 7.21, except that bearings are required, and fixed bearing
AB S44°46'25"E.
mServlet/CE205-Ch7+Fall2017.pdf?n=fmgr&ts=1509452810019&sig=OmdWrs8ZEubSpPkuiX810A4qtdQ%3D&v .ac prod.campuscruiser.com
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Homework
P7.8
• P7.10
• P7.21
• P7.22
Due Nov. 2nd, 2017
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