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’