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8/18/2019 angles n bearings
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Example:
CB
A
CB
A
CB
A
120
or
S 600 E
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Angle Types
Interior angles
Angles to the right
Deflection Angles
Deflection right
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Directions of lines
Two types of directions:
Bearings
Bearings are expressed by quadrant with respect to the reference line.
Measured as the acute angle between the reference line and the lineitself
Measured either north or south
Referenced additionally to the east or west
Referenced to the direction of the survey
Example: Traverse ABC
Line AB – Bearing =
AC
B
450
N
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Line BC – Bearing =
Field process
Bearings are measured ahead or forward and then checked back .
Sta HD Brg AHD Brg BCK Notes
A 121.85 N 62 E S 61 W
B
89.63 S 70 E N 70 W Creek
C
82.61 N 27 E S 28 W
D
A C
B
550
N
A
D
C
B
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Azimuths
Azimuths are expressed clockwise with reference to the reference line.
Measured as the total angle between the reference line and the lineitself clockwise
Generally measured from north
No referencing from the east or west
Example: Traverse ABC
Line AB – Azimuth =
Line BC – Azimuth =
AC
B
1350
N
AC
B
550
N
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Computing Bearings
It is quite often necessary to compute bearings from angles
Again, the three requirements for turning an angle:
Example problem: Line AB has been set at S 45
0
30’ E. Angle B was turned 120
0
30’.What is the bearing of BC?
AC
B
1200 30’
N
AC
B
N
S 450 30’ E
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Computing Azimuths
Example problem: Line AB has been set at 1340 30’. Angle B was turned 120
0 30’. What
is the azimuth of BC?
AC
B
1200 30’
N
AC
B
N
1340 30’