Mathematics·Bearings and trigonometry · NSSCO 11.2
Bearings
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A bearing is how we describe a direction exactly, using a number instead of a vague word like 'that way'. In this lesson we meet the compass directions, learn the three golden rules of a three-figure bearing, and practise measuring and drawing bearings with a protractor. Then we handle the back-bearing — the direction for the journey home — using the ±180° rule. Finally we combine bearings with scale drawings and with right-angled trigonometry and Pythagoras, so we can work out a real distance or a real bearing from a journey.
What you'll learn in this lesson
By the end you should be able to (NSSCO Mathematics 11.2):
- Recognise and use the points of the compass (N, E, S, W and NE, SE, SW, NW)
- Interpret and use three-figure bearings measured clockwise from North (000° to 360°)
- Measure a three-figure bearing with a protractor, and draw a given bearing accurately
- Find a back-bearing using the ±180° relationship
- Use bearings with scale drawings to find real distances and directions
- Solve bearing problems that combine with Pythagoras' theorem and the sine, cosine and tangent ratios to find a distance or a bearing
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