Solution: Angles and Directions

Problem (1)

The direction of line FG is S 47°24'30"W. The angle to the left at G from F to H is 71°50'05". What is the bearing of line GH?

Direction of FG is S 47°24'30"W...
...angle to left at G from F to H is 71°50'05"...
...bearing of line GH:

Problem (2)

The azimuth of line KL is 125°00'20". The angle to the right at L from K from to M is 38°25'10". What is the azimuth of line LM?

Azimuth of KL is 125°00'20"...
...angle right at L from K to M is 38°25'10"...
(extending KL through L)
...azimuth of LM:

Problem (3)

The azimuth of line CD is 205°05'30". The angle to the right at C from D to B is 122°18'10". What is the azimuth of line CB?

Azimuth of CD is 205°05'30"...
... angle right at C from D to B is 122°18'10"...
...azimuth of CB:

Problem (4)

The bearing of line ST is N 72°38'20"W. The deflection angle at S from T to U is 115°12'45"R. The angle to the left at U from T to V is 67°54'15". What is the bearing of line UV?

Bearing ST is N 72°38'20"W...
..defl angle at S from T to U is 115°12'45"R...
...angle left at U from T to V is 67°54'15"...
...bearing UV:

Problem (5)

The azimuth from A1 to B3 is 320°51'15". The bearing of line A1 to C4 is S 85°36'35"E. What is the angle to the right at A1 from B3 to C4?

Azimuth A1 to B3 is 320°51'15"...
...bearing A1 to C4 is S 85°36'35"E...
...angle right at A1 from B3 to C4:

Problem (6)

The bearing from D5 to T6 is S 36°20'55"W. The bearing from T6 to L7 is N 58°25'40"W. What is the deflection angle at T6 from D5 to L7?

Bearing D5 to T6 is S 36°20'55"W...
...bearing T6 to L7 is N 58°25'40"W...
...defl angle at T6 from D5 to L7: