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Compass Bearings and True Bearings 1Compass Bearings and True Bearings 1
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Question 1 of 5
1. Question
Using the image below, find the value of the following:
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`(i)` Bearing of A from O `=` (60)`°``(ii)` Bearing of B from O `=` (199)`°``(iii)` Bearing of C from O `=` (328)`°`
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When solving for bearings, start from North and move clockwise.`(i)` Bearing of `A` from `O`Notice that when starting from North and heading to East, the two lines form a complementary angle.
Since complementary angles add up to `90°`, we can simply subtract the measure of `angle A O E`, which is `30°`, to get the bearing of `A` from `O`.`90°-30°` `=` `60°` 
`(ii)` Bearing of `B` from `O`Notice that when starting from North and heading to South, the two lines form a supplementary angle.
Since supplementary angles add up to `180°`, we can simply add the measure of `angle S O B`, which is `19°`, to get the bearing of `B` from `O`.`180°+19°` `=` `199°` 
`(iii)` Bearing of `C` from `O`Notice that when starting from North and heading all the way back to North, it forms a revolution.Since a revolution is equal to `360°`, we can simply subtract the measure of `angle C O N`, which is `32°`, to get the bearing of `C` from `O`.`360°-32°` `=` `328°` 
`(i) 60°``(ii) 199°``(iii) 328°` -
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Question 2 of 5
2. Question
Find the compass bearing and true bearing of `A` from `O`
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`(i)` Compass Bearing `=` (N) (19)`°` (E)`(ii)` True Bearing `=` (19)`°T`
Hint
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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) lineA true bearing is an angle measured clockwise from the True North around to the required direction.`(i)` `\text(Compass Bearing)`Notice that line `A` is located on the Northeast Quadrant.
Using the chart, we can write the compass bearing of `A` from `O` by using `N` __ `E`. Then get the angle that spans from the vertical line (`N`) to `A`, which is `19°`Therefore, the compass bearing of `A` from `O` is `N 19° E``(ii)` `\text(True Bearing)`Notice that line `A` is `19°` from the starting point, which is from the North line.
That means that the true bearing of `A` from `O` is simply `19°T`.`T` stands for True North.`(i)` Compass Bearing `= N 19° E``(ii)` True Bearing `=19°T` -
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Question 3 of 5
3. Question
Find the compass bearing and true bearing of `A` from `O`
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`(i)` Compass Bearing `=` (N) (34)`°` (W)`(ii)` True Bearing `=` (326)`°T`
Hint
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Excellent!
Incorrect
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) lineA true bearing is an angle measured clockwise from the True North around to the required direction.`(i)` `\text(Compass Bearing)`Notice that line `A` is located on the Northwest Quadrant.
Using the chart, we can write the compass bearing of `A` from `O` by using `N` __ `W`. Then get the angle that spans from the vertical line (`N`) to `A`, which is `34°`Therefore, the compass bearing of `A` from `O` is `N 34° W``(ii)` `\text(True Bearing)`Notice that when starting from North and heading all the way back to North, it forms a revolution.
Since a revolution is equal to `360°`, we can simply subtract the measure of `angle A O N`, which is `34°`, to get the bearing of `A` from `O`.Don’t forget to add `T` to the bearing to indicate True North.`360°-34°` `=` `326°T` 
`(i)` Compass Bearing `= N 34° W``(ii)` True Bearing `=326°T` -
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Question 4 of 5
4. Question
Find the compass bearing and true bearing of `A` from `O`
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`(i)` Compass Bearing `=` (N) (73)`°` (W)`(ii)` True Bearing `=` (287)`°T`
Hint
Help VideoCorrect
Correct!
Incorrect
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) lineA true bearing is an angle measured clockwise from the True North around to the required direction.`(i)` `\text(Compass Bearing)`Notice that line `A` is located on the Northwest Quadrant.
Using the chart, we can write the compass bearing of `A` from `O` by using `N` __ `W`. Then get the angle that spans from the vertical line (`N`) to `A`.Notice that line `N` and line `W` form a complementary angle. Therefore, we can find the value of the angle by subtracting `17°` from the value of a complementary angle, which is `90°`.`90°-17°` `=` `73°` Therefore, the compass bearing of `A` from `O` is `N 73° W`
`(ii)` `\text(True Bearing)`Notice that when starting from North and heading all the way back to North, it forms a revolution.
Since a revolution is equal to `360°`, we can simply subtract the measure of `angle A O N`, which is `73°`, to get the bearing of `A` from `O`.Don’t forget to add `T` to the bearing to indicate True North.`360°-73°` `=` `287°T` Alternatively, we can add the value of `3` quadrants and `17°` to get the same value.`(3xx90°)+17°` `=` `270°+17°` `=` `287°T` 
`(i)` Compass Bearing `= N 73° W``(ii)` True Bearing `=287°T` -
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Question 5 of 5
5. Question
Find the compass bearing and true bearing of `A` from `O`
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`(i)` Compass Bearing `=` (S) (12)`°` (E)`(ii)` True Bearing `=` (168)`°T`
Hint
Help VideoCorrect
Nice Job!
Incorrect
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) lineA true bearing is an angle measured clockwise from the True North around to the required direction.`(i)` `\text(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 `N` and line `W` form a supplementary angle. Therefore, we can find the value of the angle by subtracting `168°` from the value of a supplementary angle, which is `180°`.`180°-168°` `=` `12°` Therefore, the compass bearing of `A` from `O` is `S 12° E`
`(ii)` `\text(True Bearing)`Starting clockwise from North, line `A` gives us `168°`.
Therefore, the true bearing of `A` from `O` is `168°T``(i)` Compass Bearing `= S 12° E``(ii)` True Bearing `=168°T` -
Quizzes
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- Using Bearings to Find Distance 1
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- Using Bearings to Find Distance 3
- Using Bearings and Distances to Find Angles
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