Calculate the Azimuth of OC and the Bearings of OB and OA Az

Calculate the Azimuth of OC and the Bearings of OB and OA. Azimuth OC Bearing OB 6830 \'00\" Bearing OA 97 32\'00\" Calculate the Azimuth and Bearing of BC. 120°300\"

Solution

Azimuths are the directions measured in terms of angle with respect to the true north.It may have a value from 0^o00\'00\" to 360^o.

Bearing are the direction measured in terms of angle with respect to either north or south.

1.)

Here,We have the bearing of line OC = N 42^o26\'00\" W

Thus,

Azimuth or Whole circle bearing of line OC = 360^{o -} 42^o26\'00\" = 317^o34\'00\"

Now,

Azimuth or Whole circle bearing of line OB

= Azimuth or Whole circle bearing of line OC - Internal angle COB

=317^o34\'00\" - 68^o30\'00\" = 249^o4\'00\"

Thus,

Bearing of line OB = N(249^o4\'00\" - 180^o)W = N 69^o4\'00\" W

Now,

Azimuth or Whole circle bearing of line OA

= Azimuth or Whole circle bearing of line OB - Internal angle BOA

= 249^o4\'00\" - 97^o32\'00\"

=151^o32\'00\"

Bearing of line OA = N(180^o - 151^o32\'00\")E = N 28^o28\'00\" E

2.)

Here, Bearing of line BA = N55^o30\'00\"E

Azimuth of line BA = 180^o - 55^o30\'00\" = 124^o30\'00\"

Azimuth of line BC = Azimuth of line BA - Internal angle ABC

= 124^o30\'00\" - 120^o30\'00\"

= 4^o00\'00\"

Bearing of line BC = N 4^o00\'00\" E