To get a compass bearing, take the compass quadrant where the direction belongs to, then get the angle from the vertical line around to the required direction.
Compass Bearing Quadrants
Northwest Quadrant=N=N __ WW
Northeast Quadrant=N=N __ EE
Southwest Quadrant=S=S __ WW
Southeast Quadrant=S=S __ EE
The blank is filled with the distance of the bearing from the North-South (vertical) line
A true bearing is an angle measured clockwise from the True North around to the required direction.
(i)(i)Compass BearingCompass Bearing
Notice that line AA is located on the Southeast Quadrant.
Using the chart, we can write the compass bearing of AA from OO by using SS __ EE. Then get the angle that spans from the vertical line (NN) to AA.
Notice that line EE and line SS form a complementary angle. Therefore, we can find the value of the angle by subtracting 24°24° from the value of a complementary angle, which is 90°90°.
90°-24°90°−24°
==
66°66°
Therefore, the compass bearing of AA from OO is S66°ES66°E
(ii)(ii)True BearingTrue Bearing
Notice that when starting from North and heading to East, it forms a complementary angle.
Since a complementary angle is equal to 90°90°, we can simply add the measure of ∠EOA∠EOA, which is 24°24°, to 90°90° to get the bearing of AA from OO.
Don’t forget to add TT to the bearing to indicate that it’s True North.
90°+24°90°+24°
==
114°T114°T
(i)(i) Compass Bearing =S66°E=S66°E
(ii)(ii) True Bearing =114°T=114°T
Question 2 of 4
2. Question
Find the compass bearing and true bearing of A from O
To get a compass bearing, take the compass quadrant where the direction belongs to, then get the angle from the vertical line around to the required direction.
Compass Bearing Quadrants
Northwest Quadrant=N __ W
Northeast Quadrant=N __ E
Southwest Quadrant=S __ W
Southeast Quadrant=S __ E
The blank is filled with the distance of the bearing from the North-South (vertical) line
A true bearing is an angle measured clockwise from the True North around to the required direction.
(i)Compass Bearing
Notice that line A is located on the Southwest Quadrant.
Using the chart, we can write the compass bearing of A from O by using S __ W. Then get the angle that spans from the vertical line (N) to A, which is 49°
Therefore, the compass bearing of A from O is S49°W
(ii)True Bearing
Notice that when starting from North and heading to South, it forms a supplementary angle.
Since a supplementary angle is equal to 180°, we can simply add the measure of ∠SOA, which is 49°, to 180° to get the bearing of A from O.
Don’t forget to add T to the bearing to indicate True North.
180°+49°
=
229°T
(i) Compass Bearing =S49°W
(ii) True Bearing =229°T
Question 3 of 4
3. Question
Find the compass bearing and true bearing of A from O
To get a compass bearing, take the compass quadrant where the direction belongs to, then get the angle from the vertical line around to the required direction.
Compass Bearing Quadrants
Northwest Quadrant=N __ W
Northeast Quadrant=N __ E
Southwest Quadrant=S __ W
Southeast Quadrant=S __ E
The blank is filled with the distance of the bearing from the North-South (vertical) line
A true bearing is an angle measured clockwise from the True North around to the required direction.
(i)Compass Bearing
Notice that line A is located on the Southwest Quadrant.
Using the chart, we can write the compass bearing of A from O by using S __ W. Then get the angle that spans from the vertical line (N) to A.
Notice that line N and line S form a supplementary angle. Therefore, we can find the value of the angle by subtracting the value of a complementary angle, which is 90°, from 220°.
220°-180°
=
40°
Therefore, the compass bearing of A from O is S40°W
(ii)True Bearing
Starting clockwise from North, line A gives us 168°.
Therefore, the true bearing of A from O is 220°T
(i) Compass Bearing =S40°W
(ii) True Bearing =220°T
Question 4 of 4
4. Question
Find the compass bearing and true bearing of A from O
To get a compass bearing, take the compass quadrant where the direction belongs to, then get the angle from the vertical line around to the required direction.
Compass Bearing Quadrants
Northwest Quadrant=N __ W
Northeast Quadrant=N __ E
Southwest Quadrant=S __ W
Southeast Quadrant=S __ E
The blank is filled with the distance of the bearing from the North-South (vertical) line
A true bearing is an angle measured clockwise from the True North around to the required direction.
(i)Compass Bearing
Notice that line A is located on the Southwest Quadrant.
Using the chart, we can write the compass bearing of A from O by using S __ W. Then get the angle that spans from the vertical line (N) to A.
Notice that line S and line W form a supplementary angle. Therefore, we can find the value of the angle by subtracting 38° from the value of a complementary angle, which is 90°.
90°-38°
=
52°
Therefore, the compass bearing of A from O is S52°W
(ii)True Bearing
Notice that when starting from North and heading to South, it forms a supplementary angle.
Since a supplementary angle is equal to 180°, we can simply add the measure of ∠SOA, which is 52°, to 180° to get the bearing of A from O.
Don’t forget to add T to the bearing to indicate True North.
