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More Lessons for A Level Maths

Math Worksheets

A collection of videos, activities and worksheets that are suitable for A Level Maths.

**C2 Sine and Cosine Rule**

Questions in Context Bearings

Examples:

1. Fred is standing at a point looking north. He walks on a bearing 056° for 9.8km before stopping. He then walks an additional 3.5 km on a bearing od 112° before stopping to rest. Find out how far he is away from his start point.

2. Sue walks around the perimeter of a triangular field. She walks west from one corner of the field for 480m before stopping at the second corner. She then walks an additional 312m on a bearing of 072° to complete the second side of the field?

(a) How long is the third side of the field?

(b) Find the total area of the enclosed field.

**Sine & Cosine Rules applied to Bearings**

Example:

A ship sails from a point A on a bearing of 040° for 3km to a point B. At B the ship alters course and sails for 5km on a bearing of 160° to a point C. Find the distance AC and the bearing of A from C.
**Cosine Rule and Bearing Problem**

Example:

Jack walks from town A for 10 miles on a bearing of 20°. Peter walks from twon A for 18 miles on a bearing of 130°. How far is Jack from Peter?

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for A Level Maths

Math Worksheets

A collection of videos, activities and worksheets that are suitable for A Level Maths.

Questions in Context Bearings

Examples:

1. Fred is standing at a point looking north. He walks on a bearing 056° for 9.8km before stopping. He then walks an additional 3.5 km on a bearing od 112° before stopping to rest. Find out how far he is away from his start point.

2. Sue walks around the perimeter of a triangular field. She walks west from one corner of the field for 480m before stopping at the second corner. She then walks an additional 312m on a bearing of 072° to complete the second side of the field?

(a) How long is the third side of the field?

(b) Find the total area of the enclosed field.

Example:

A ship sails from a point A on a bearing of 040° for 3km to a point B. At B the ship alters course and sails for 5km on a bearing of 160° to a point C. Find the distance AC and the bearing of A from C.

Example:

Jack walks from town A for 10 miles on a bearing of 20°. Peter walks from twon A for 18 miles on a bearing of 130°. How far is Jack from Peter?

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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