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 Southeast Quadrant.
Using the chart, we can write the compass bearing of A from O by using S __ E. Then get the angle that spans from the vertical line (N) to A.
Notice that line E and line S form a complementary angle. Therefore, we can find the value of the angle by subtracting 24° from the value of a complementary angle, which is 90°.
90°-24°
=
66°
Therefore, the compass bearing of A from O is S66°E
(ii)True Bearing
Notice that when starting from North and heading to East, it forms a complementary angle.
Since a complementary angle is equal to 90°, we can simply add the measure of ∠EOA, which is 24°, to 90° to get the bearing of A from O.
Don’t forget to add T to the bearing to indicate that it’s True North.
90°+24°
=
114°T
(i) Compass Bearing =S66°E
(ii) True Bearing =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.
