Ever wondered how ships navigate the ocean or how pilots... Show more
Maths323 views·Updated May 27, 2026·3 pagesUnderstanding Bearings: Key Explanation and Trigonometry Questions
E
Elody Jones@lodyones_9caqc8c8h6t
1 / 3
1
of 3
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!
2
of 3
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!
3
of 3
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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Maths323 views·Updated May 27, 2026·3 pagesUnderstanding 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
1
of 3Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
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!
2
of 3Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
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!
3
of 3Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
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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91,70559
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Explore essential formulas for calculating the area of various shapes including rectangles, triangles, trapeziums, and circles. Additionally, understand trigonometric ratios (sin, cos, tan) and their exact values for special angles. This summary is perfect for quick revision and exam preparation.
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Students love us — and so will you.
4.6/5App Store
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