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Fun with Bearings: Easy Trigonometry and Maps for Kids!

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Studynotes_gcse

25/06/2022

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Bearings GCSE

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Bearings

Fun with Bearings: Easy Trigonometry and Maps for Kids!

This transcript covers various examples and problems related to calculating bearings using trigonometry. It provides bearing angle calculation examples and demonstrates different methods to determine ship bearings. The content is aimed at teaching students how to solve bearing-related problems using mathematical techniques.

• The transcript includes multiple examples of calculating bearings between different points, ships, and towns.
• It covers both basic and advanced problems, incorporating trigonometric functions and the cosine rule.
• The material progresses from simple bearing calculations to more complex scenarios involving multiple locations and distances.
• Examples include real-world applications such as ship navigation and town positioning.

...

25/06/2022

523

1. work out the bearing of B from A. B B 140 60% Bearings 2. Work out the bearing of B from P. AN N ↑ Y K 160° N 5001 A 1200 288° XV 1180 18

View

Advanced Bearing Calculations

This section continues with more complex bearing questions GCSE with answers, introducing scenarios involving multiple points and requiring more advanced problem-solving skills.

Example: Question 4 asks to find the bearing of B from P, given a diagram with multiple points and angles.

Highlight: The problems introduce the concept of working with bearings greater than 180°, requiring students to understand how to handle these larger angles.

Definition: Reciprocal bearing - The bearing in the opposite direction, typically found by adding or subtracting 180° from the original bearing.

1. work out the bearing of B from A. B B 140 60% Bearings 2. Work out the bearing of B from P. AN N ↑ Y K 160° N 5001 A 1200 288° XV 1180 18

View

Bearing Calculations with Multiple Points

This page focuses on more challenging GCSE bearings questions and answers, involving calculations with multiple towns or points. These questions require a deeper understanding of bearing relationships and angle calculations.

Example: Question 7 asks to find the bearing of B from A, given that the bearing of A from B is 225°.

Highlight: These problems introduce the concept of working backwards from given bearings to find reverse bearings, an essential skill for more complex bearing calculations.

Vocabulary: Reverse bearing - The bearing from point B to A when the bearing from A to B is known.

1. work out the bearing of B from A. B B 140 60% Bearings 2. Work out the bearing of B from P. AN N ↑ Y K 160° N 5001 A 1200 288° XV 1180 18

View

Trigonometry in Bearing Calculations

This section introduces trigonometry into bearing questions GCSE with answers, combining bearing concepts with trigonometric calculations. These problems represent higher exam questions with trigonometry.

Example: Question 10 involves calculating the bearing of C from A, given that C is due south of B and other angle information is provided.

Highlight: These questions require students to apply trigonometric ratios and the properties of isosceles triangles to solve bearing problems.

Vocabulary: Isosceles triangle - A triangle with two sides of equal length and two angles of equal measure.

1. work out the bearing of B from A. B B 140 60% Bearings 2. Work out the bearing of B from P. AN N ↑ Y K 160° N 5001 A 1200 288° XV 1180 18

View

Complex Bearing and Distance Calculations

This page presents more advanced GCSE bearings exam questions and answers, incorporating distance calculations along with bearings. These problems represent hard trigonometry questions GCSE.

Example: Question 1 asks to calculate the distance between two ships leaving a lighthouse, given their bearings from the lighthouse and the distances they have traveled.

Highlight: These questions introduce the application of the cosine rule to solve problems involving bearings and distances, a key skill for higher-level mathematics.

Definition: Cosine rule - A formula used to find unknown sides or angles in a triangle when three pieces of information about the triangle are known.

1. work out the bearing of B from A. B B 140 60% Bearings 2. Work out the bearing of B from P. AN N ↑ Y K 160° N 5001 A 1200 288° XV 1180 18

View

Advanced Trigonometry in Bearing Problems

This section continues with complex trigonometry questions GCSE with answers, focusing on scenarios involving multiple points, bearings, and distances. These problems are typical of higher exam questions with trigonometry GCSE.

Example: Question 3 asks to calculate the distance between two ships sailing on different bearings for different distances.

Highlight: These questions require students to apply both the cosine rule and trigonometric ratios to solve complex bearing and distance problems.

Vocabulary: Significant figures - The digits in a number that carry meaning contributing to its precision.

1. work out the bearing of B from A. B B 140 60% Bearings 2. Work out the bearing of B from P. AN N ↑ Y K 160° N 5001 A 1200 288° XV 1180 18

View

Bearing Calculations with Inverse Trigonometric Functions

This page introduces the use of inverse trigonometric functions in solving GCSE bearings exam questions. These problems represent some of the most challenging trigonometry IGCSE questions and answers PDF content.

Example: Question 5 asks to calculate the bearing of one point from another, given distances and bearings between multiple points.

Highlight: These questions require students to use the sine rule and inverse sine function to find unknown angles in complex bearing scenarios.

Vocabulary: Inverse trigonometric functions - Functions used to find an angle when given a trigonometric ratio.

1. work out the bearing of B from A. B B 140 60% Bearings 2. Work out the bearing of B from P. AN N ↑ Y K 160° N 5001 A 1200 288° XV 1180 18

View

Complex Bearing and Distance Problem Solving

The final page presents a comprehensive GCSE bearings exam question that combines multiple concepts covered throughout the guide. This problem is representative of the most challenging higher exam questions with trigonometry and answers PDF.

Example: The question asks to find the bearing of Chorlton from Acton, given the positions and bearings of three towns.

Highlight: This problem requires students to apply a combination of trigonometric rules, bearing calculations, and problem-solving skills to arrive at the final answer.

Vocabulary: Decimal place - The position of a digit to the right of a decimal point, used to specify the precision of a measurement or calculation.

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Subjects

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Geometry and measure

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25 Jun 2022

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8 pages

Fun with Bearings: Easy Trigonometry and Maps for Kids!

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Studynotes_gcse

@studynotes_gcse

This transcript covers various examples and problems related to calculating bearings using trigonometry. It provides bearing angle calculation examples and demonstrates different methods to determine ship bearings. The content is aimed at teaching students how to solve bearing-related... Show more

1. work out the bearing of B from A. B B 140 60% Bearings 2. Work out the bearing of B from P. AN N ↑ Y K 160° N 5001 A 1200 288° XV 1180 18

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Advanced Bearing Calculations

This section continues with more complex bearing questions GCSE with answers, introducing scenarios involving multiple points and requiring more advanced problem-solving skills.

Example: Question 4 asks to find the bearing of B from P, given a diagram with multiple points and angles.

Highlight: The problems introduce the concept of working with bearings greater than 180°, requiring students to understand how to handle these larger angles.

Definition: Reciprocal bearing - The bearing in the opposite direction, typically found by adding or subtracting 180° from the original bearing.

1. work out the bearing of B from A. B B 140 60% Bearings 2. Work out the bearing of B from P. AN N ↑ Y K 160° N 5001 A 1200 288° XV 1180 18

Sign up to see the contentIt's free!

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Bearing Calculations with Multiple Points

This page focuses on more challenging GCSE bearings questions and answers, involving calculations with multiple towns or points. These questions require a deeper understanding of bearing relationships and angle calculations.

Example: Question 7 asks to find the bearing of B from A, given that the bearing of A from B is 225°.

Highlight: These problems introduce the concept of working backwards from given bearings to find reverse bearings, an essential skill for more complex bearing calculations.

Vocabulary: Reverse bearing - The bearing from point B to A when the bearing from A to B is known.

1. work out the bearing of B from A. B B 140 60% Bearings 2. Work out the bearing of B from P. AN N ↑ Y K 160° N 5001 A 1200 288° XV 1180 18

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

Trigonometry in Bearing Calculations

This section introduces trigonometry into bearing questions GCSE with answers, combining bearing concepts with trigonometric calculations. These problems represent higher exam questions with trigonometry.

Example: Question 10 involves calculating the bearing of C from A, given that C is due south of B and other angle information is provided.

Highlight: These questions require students to apply trigonometric ratios and the properties of isosceles triangles to solve bearing problems.

Vocabulary: Isosceles triangle - A triangle with two sides of equal length and two angles of equal measure.

1. work out the bearing of B from A. B B 140 60% Bearings 2. Work out the bearing of B from P. AN N ↑ Y K 160° N 5001 A 1200 288° XV 1180 18

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

Complex Bearing and Distance Calculations

This page presents more advanced GCSE bearings exam questions and answers, incorporating distance calculations along with bearings. These problems represent hard trigonometry questions GCSE.

Example: Question 1 asks to calculate the distance between two ships leaving a lighthouse, given their bearings from the lighthouse and the distances they have traveled.

Highlight: These questions introduce the application of the cosine rule to solve problems involving bearings and distances, a key skill for higher-level mathematics.

Definition: Cosine rule - A formula used to find unknown sides or angles in a triangle when three pieces of information about the triangle are known.

1. work out the bearing of B from A. B B 140 60% Bearings 2. Work out the bearing of B from P. AN N ↑ Y K 160° N 5001 A 1200 288° XV 1180 18

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

Advanced Trigonometry in Bearing Problems

This section continues with complex trigonometry questions GCSE with answers, focusing on scenarios involving multiple points, bearings, and distances. These problems are typical of higher exam questions with trigonometry GCSE.

Example: Question 3 asks to calculate the distance between two ships sailing on different bearings for different distances.

Highlight: These questions require students to apply both the cosine rule and trigonometric ratios to solve complex bearing and distance problems.

Vocabulary: Significant figures - The digits in a number that carry meaning contributing to its precision.

1. work out the bearing of B from A. B B 140 60% Bearings 2. Work out the bearing of B from P. AN N ↑ Y K 160° N 5001 A 1200 288° XV 1180 18

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

Bearing Calculations with Inverse Trigonometric Functions

This page introduces the use of inverse trigonometric functions in solving GCSE bearings exam questions. These problems represent some of the most challenging trigonometry IGCSE questions and answers PDF content.

Example: Question 5 asks to calculate the bearing of one point from another, given distances and bearings between multiple points.

Highlight: These questions require students to use the sine rule and inverse sine function to find unknown angles in complex bearing scenarios.

Vocabulary: Inverse trigonometric functions - Functions used to find an angle when given a trigonometric ratio.

1. work out the bearing of B from A. B B 140 60% Bearings 2. Work out the bearing of B from P. AN N ↑ Y K 160° N 5001 A 1200 288° XV 1180 18

Sign up to see the contentIt's free!

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Complex Bearing and Distance Problem Solving

The final page presents a comprehensive GCSE bearings exam question that combines multiple concepts covered throughout the guide. This problem is representative of the most challenging higher exam questions with trigonometry and answers PDF.

Example: The question asks to find the bearing of Chorlton from Acton, given the positions and bearings of three towns.

Highlight: This problem requires students to apply a combination of trigonometric rules, bearing calculations, and problem-solving skills to arrive at the final answer.

Vocabulary: Decimal place - The position of a digit to the right of a decimal point, used to specify the precision of a measurement or calculation.

1. work out the bearing of B from A. B B 140 60% Bearings 2. Work out the bearing of B from P. AN N ↑ Y K 160° N 5001 A 1200 288° XV 1180 18

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Bearings and Trigonometry Practice Questions

This page introduces a series of GCSE bearings exam questions focusing on calculating bearings between points and working with angles. The questions gradually increase in complexity, providing a comprehensive practice set for students.

Example: Question 1 asks to work out the bearing of B from A, given a diagram showing the relative positions of the points.

Highlight: The questions cover various scenarios, including finding bearings from different reference points and calculating angles between bearings.

Vocabulary: Bearing - The angle measured clockwise from north to a specified direction.

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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

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Thomas R

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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

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Sudenaz Ocak

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Greenlight Bonnie

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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

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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

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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 😍😁😲🤑💗✨🎀😮

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