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11 Dec 2025

3 pages

Understanding Bearings: Key Explanation and Trigonometry Questions

E

Elody Jones

@lodyones_9caqc8c8h6t

Ever wondered how ships navigate the ocean or how pilots... Show more

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DEARING
year
- Bearings are always measured.
Remember to draw
North line in before measuring
a bearing of the North line
isn't given already

Understanding Bearings Basics

Think of bearings like giving someone super-precise directions. Instead of saying "go sort of northeast," you can say exactly which direction to travel using a number.

Bearings always start from north and go clockwise. This is crucial to remember! You'll always need to draw a north line first if one isn't already there. The angle is then measured clockwise from this north line to your direction.

Here's a quirky rule: bearings must always be written as three-digit numbers. So if your angle is 80°, you write it as 080°. If it's 5°, you write 005°. This keeps everything consistent and prevents confusion.

Quick Tip: Allied angles (angles on a straight line) add up to 180°, whilst angles around a point total 360°. You'll use these facts constantly when working backwards from one bearing to find another!

DEARING
year
- Bearings are always measured.
Remember to draw
North line in before measuring
a bearing of the North line
isn't given already

Working with Bearing Calculations

The real magic happens when you start calculating bearings between different points. You'll often need to work backwards - if you know the bearing from A to B, how do you find the bearing from B to A?

Use your angle rules like a detective. Remember that allied angles sum to 180°, so if you have a bearing of 130°, the opposite direction involves subtracting from 180° first, then adjusting using the 360° rule.

When you see multiple points and bearings, break the problem down step by step. Work with one pair of points at a time, use your north lines, and apply the angle rules methodically.

Remember: The symbol θ (theta) just means "angle" - don't let Greek letters intimidate you!

DEARING
year
- Bearings are always measured.
Remember to draw
North line in before measuring
a bearing of the North line
isn't given already

Bearings Meet Trigonometry

Now things get interesting! SOH CAH TOA becomes your best friend when bearings involve distances and you need to find angles.

When you have a right-angled triangle with distances, you can use tan⁻¹ to find the angle. Remember: tan θ = opposite ÷ adjacent, so θ = tan⁻¹(opposite ÷ adjacent).

Once you've calculated your angle using trigonometry, you still need to convert it into a proper bearing. This means checking which direction you're measuring from north and adjusting accordingly.

Pro Tip: Always label your triangle sides as opposite, adjacent, and hypotenuse first - it prevents silly mistakes and makes the calculation much clearer!



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Where can I download the Knowunity app?

You can download the app from Google Play Store and Apple App Store.

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Stefan S

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This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

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Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user

 

Maths

307

11 Dec 2025

3 pages

Understanding Bearings: Key Explanation and Trigonometry Questions

E

Elody Jones

@lodyones_9caqc8c8h6t

Ever wondered how ships navigate the ocean or how pilots find their way through the sky? Bearingsare the key! They're a clever way to describe exact directions using angles, and once you get the hang of them, they're actually... Show more

DEARING
year
- Bearings are always measured.
Remember to draw
North line in before measuring
a bearing of the North line
isn't given already

Sign up to see the contentIt's free!

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Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Understanding Bearings Basics

Think of bearings like giving someone super-precise directions. Instead of saying "go sort of northeast," you can say exactly which direction to travel using a number.

Bearings always start from north and go clockwise. This is crucial to remember! You'll always need to draw a north line first if one isn't already there. The angle is then measured clockwise from this north line to your direction.

Here's a quirky rule: bearings must always be written as three-digit numbers. So if your angle is 80°, you write it as 080°. If it's 5°, you write 005°. This keeps everything consistent and prevents confusion.

Quick Tip: Allied angles (angles on a straight line) add up to 180°, whilst angles around a point total 360°. You'll use these facts constantly when working backwards from one bearing to find another!

DEARING
year
- Bearings are always measured.
Remember to draw
North line in before measuring
a bearing of the North line
isn't given already

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Working with Bearing Calculations

The real magic happens when you start calculating bearings between different points. You'll often need to work backwards - if you know the bearing from A to B, how do you find the bearing from B to A?

Use your angle rules like a detective. Remember that allied angles sum to 180°, so if you have a bearing of 130°, the opposite direction involves subtracting from 180° first, then adjusting using the 360° rule.

When you see multiple points and bearings, break the problem down step by step. Work with one pair of points at a time, use your north lines, and apply the angle rules methodically.

Remember: The symbol θ (theta) just means "angle" - don't let Greek letters intimidate you!

DEARING
year
- Bearings are always measured.
Remember to draw
North line in before measuring
a bearing of the North line
isn't given already

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Bearings Meet Trigonometry

Now things get interesting! SOH CAH TOA becomes your best friend when bearings involve distances and you need to find angles.

When you have a right-angled triangle with distances, you can use tan⁻¹ to find the angle. Remember: tan θ = opposite ÷ adjacent, so θ = tan⁻¹(opposite ÷ adjacent).

Once you've calculated your angle using trigonometry, you still need to convert it into a proper bearing. This means checking which direction you're measuring from north and adjusting accordingly.

Pro Tip: Always label your triangle sides as opposite, adjacent, and hypotenuse first - it prevents silly mistakes and makes the calculation much clearer!

We thought you’d never ask...

What is the Knowunity AI companion?

Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.

Where can I download the Knowunity app?

You can download the app from Google Play Store and Apple App Store.

Is Knowunity really free of charge?

That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.

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Most popular content: Trigonometric Ratios

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Most popular content

English - inspector calls quotes and analysis

Quotes from every main character

English LiteratureEnglish Literature
10

Can't find what you're looking for? Explore other subjects.

Students love us — and so will you.

4.9/5

App Store

4.8/5

Google Play

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user