Years
>
Year 11>
Bearings>
Compass Bearings and True Bearings>
Compass Bearings and True Bearings 2Compass Bearings and True Bearings 2
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 4 questions completed
Questions:
- 1
- 2
- 3
- 4
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
- Answered
- Review
-
Question 1 of 4
1. Question
Find the compass bearing and true bearing of `A` from `O`
-
`(i)` Compass Bearing `=` (S) (66)`°` (E)`(ii)` True Bearing `=` (114)`°T`
Hint
Help VideoCorrect
Great Work!
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 `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 `S 66° E`
`(ii)` `\text(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 `angle E O A`, 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 `= S 66° E``(ii)` True Bearing `=114°T` -
-
Question 2 of 4
2. Question
Find the compass bearing and true bearing of `A` from `O`
-
`(i)` Compass Bearing `=` (S) (49)`°` (W)`(ii)` True Bearing `=` (229)`°T`
Hint
Help VideoCorrect
Well Done!
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 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 `S 49° W``(ii)` `\text(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 `angle S O A`, 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 `= S 49° W``(ii)` True Bearing `=229°T` -
-
Question 3 of 4
3. Question
Find the compass bearing and true bearing of `A` from `O`
-
`(i)` Compass Bearing `=` (S) (40)`°` (W)`(ii)` True Bearing `=` (220)`°T`
Hint
Help VideoCorrect
Great Work!
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 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 `S 40° W`
`(ii)` `\text(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 `= S 40° W``(ii)` True Bearing `=220°T` -
-
Question 4 of 4
4. Question
Find the compass bearing and true bearing of `A` from `O`
-
`(i)` Compass Bearing `=` (S) (52)`°` (W)`(ii)` True Bearing `=` (232)`°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 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 `S 52° W`
`(ii)` `\text(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 `angle S O A`, 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.`180°+52°` `=` `232°T` 
`(i)` Compass Bearing `= S 52° W``(ii)` True Bearing `=232°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