Topics
>
Trigonometry>
Bearings>
Compass Bearings and True Bearings>
Compass Bearings and True Bearings 1Compass Bearings and True Bearings 1
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 5 questions completed
Questions:
- 1
- 2
- 3
- 4
- 5
Information
–
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
- 1
- 2
- 3
- 4
- 5
- Answered
- Review
-
Question 1 of 5
1. Question
Using the image below, find the value of the following:-
(i) Bearing of A from O = (60)°(ii) Bearing of B from O = (199)°(iii) Bearing of C from O = (328)°
Hint
Help VideoCorrect
Fantastic!
Incorrect
Need TextPlayCurrent Time 0:00/Duration Time 0:00Remaining Time -0:00Stream TypeLIVELoaded: 0%Progress: 0%0:00Fullscreen00:00MutePlayback Rate1x- 2x
- 1.5x
- 1.25x
- 1x
- 0.75x
- 0.5x
Subtitles- subtitles off
Captions- captions off
- English
Chapters- Chapters
When solving for bearings, start from North and move clockwise.(i) Bearing of A from ONotice 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 ∠AOE, which is 30°, to get the bearing of A from O.90°-30° = 60° (ii) Bearing of B from ONotice 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 ∠SOB, which is 19°, to get the bearing of B from O.180°+19° = 199° (iii) Bearing of C from ONotice 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 ∠CON, which is 32°, to get the bearing of C from O.360°-32° = 328° (i) 60°(ii) 199°(iii) 328° -
-
Question 2 of 5
2. Question
Find the compass bearing and true bearing of A from O-
(i) Compass Bearing = (N) (19)° (E)(ii) True Bearing = (19)°T
Hint
Help VideoCorrect
Keep Going!
Incorrect
Need TextPlayCurrent Time 0:00/Duration Time 0:00Remaining Time -0:00Stream TypeLIVELoaded: 0%Progress: 0%0:00Fullscreen00:00MutePlayback Rate1x- 2x
- 1.5x
- 1.25x
- 1x
- 0.75x
- 0.5x
Subtitles- subtitles off
Captions- captions off
- English
Chapters- Chapters
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 __ WNortheast Quadrant=N __ ESouthwest Quadrant=S __ WSoutheast Quadrant=S __ EThe 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) Compass BearingNotice 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) True BearingNotice 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 -
-
Question 3 of 5
3. Question
Find the compass bearing and true bearing of A from O-
(i) Compass Bearing = (N) (34)° (W)(ii) True Bearing = (326)°T
Hint
Help VideoCorrect
Excellent!
Incorrect
Need TextPlayCurrent Time 0:00/Duration Time 0:00Remaining Time -0:00Stream TypeLIVELoaded: 0%Progress: 0%0:00Fullscreen00:00MutePlayback Rate1x- 2x
- 1.5x
- 1.25x
- 1x
- 0.75x
- 0.5x
Subtitles- subtitles off
Captions- captions off
- English
Chapters- Chapters
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 __ WNortheast Quadrant=N __ ESouthwest Quadrant=S __ WSoutheast Quadrant=S __ EThe 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) Compass BearingNotice 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) True BearingNotice 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 ∠AON, 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 -
-
Question 4 of 5
4. Question
Find the compass bearing and true bearing of A from O-
(i) Compass Bearing = (N) (73)° (W)(ii) True Bearing = (287)°T
Hint
Help VideoCorrect
Correct!
Incorrect
Need TextPlayCurrent Time 0:00/Duration Time 0:00Remaining Time -0:00Stream TypeLIVELoaded: 0%Progress: 0%0:00Fullscreen00:00MutePlayback Rate1x- 2x
- 1.5x
- 1.25x
- 1x
- 0.75x
- 0.5x
Subtitles- subtitles off
Captions- captions off
- English
Chapters- Chapters
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 __ WNortheast Quadrant=N __ ESouthwest Quadrant=S __ WSoutheast Quadrant=S __ EThe 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) Compass BearingNotice 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) True BearingNotice 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 ∠AON, 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.(3×90°)+17° = 270°+17° = 287°T (i) Compass Bearing =N 73°W(ii) True Bearing =287°T -
-
Question 5 of 5
5. Question
Find the compass bearing and true bearing of A from O-
(i) Compass Bearing = (S) (12)° (E)(ii) True Bearing = (168)°T
Hint
Help VideoCorrect
Nice Job!
Incorrect
Need TextPlayCurrent Time 0:00/Duration Time 0:00Remaining Time -0:00Stream TypeLIVELoaded: 0%Progress: 0%0:00Fullscreen00:00MutePlayback Rate1x- 2x
- 1.5x
- 1.25x
- 1x
- 0.75x
- 0.5x
Subtitles- subtitles off
Captions- captions off
- English
Chapters- Chapters
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 __ WNortheast Quadrant=N __ ESouthwest Quadrant=S __ WSoutheast Quadrant=S __ EThe 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) Compass BearingNotice 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) True BearingStarting 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
- Compass Bearings and True Bearings 1
- Compass Bearings and True Bearings 2
- Solving for Bearings
- Bearings from Opposite Direction
- Using Bearings to Find Distance 1
- Using Bearings to Find Distance 2
- Using Bearings to Find Distance 3
- Using Bearings and Distances to Find Angles
- Working with Radial Surveys 1
- Working with Radial Surveys 2
- Working with Radial Surveys 3
- Working with Radial Surveys 4