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We need the angle around the point P clockwise from the north line. We know that angles on a straight line add to 180^{\circ}. 180^{\circ} + 53^{\circ} = 233^{\circ}

How to measurebearings on a map

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A ship sails 7 km due east from a point P to point A. It then sails 3 km due south from A to point B. Calculate the bearing of B from P.

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Drawing a line from P to B forms a right angled triangle. Use trigonometry to find the angle APB. Then add this to 90^{\circ} .

There are also bearings maths worksheets based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if you’re still stuck.

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Prepare your KS4 students for maths GCSEs success with Third Space Learning. Weekly online one to one GCSE maths revision lessons delivered by expert maths tutors.

Bearings is part of our series of lessons to support revision on loci and construction. You may find it helpful to start with the main loci and construction lesson for a summary of what to expect, or use the step by step guides below for further detail on individual topics. Other lessons in this series include:

Draw a line from the start point in the direction of the bearing. If you are producing a scale drawing and know the distance to locate a point use this scale appropriately.

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Draw a line from the start point in the direction of the bearing. If you are producing a scale drawing and know the distance to locate a point use this scale appropriately.

How to measure the bearingwith a ruler

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How to measure the bearingof B from a

Sketch a diagram. Angle should be measured clockwise from north, so find the angle QPR using trigonometry and subtract from 360^{\circ} .

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Bearingmeasurement tool

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3Draw a line from the start point in the direction of the bearing. If you are producing a scale drawing and know the distance to locate a point use this scale appropriately.

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Using your protractor, place the zero of the scale on the north line and measure the required angle clockwise, make a mark on your page at the angle needed.

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Bearings are used by sailors and pilots to describe the direction they are travelling. They are also used on land by hikers and the military.

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How tocalculatebearingsize frombearingnumber

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Bearingmeasurement chart

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Using the north lines for reference at both points, use angle rules and/or trigonometry to calculate any angles that are required.

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Using your protractor, place the zero of the scale on the north line and measure the required angle clockwise, make a mark on your page at the angle needed.

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The most common and often most-identifiable symptom associated with a bad wheel bearing is noise coming from the wheel or tire area of the moving vehicle.

Using the north lines for reference at both points, use angle rules and/or trigonometry to calculate any angles that are required.

Using the north lines for reference at both points, use angle rules and/or trigonometry to calculate any angles that are required.

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How to measurebearings Maths

The average cost to replace the wheel bearings (for 1 wheel) is about $350 (including parts and labor). But KBB.com goes deeper than that.

{{\tan }^{-1}}\left( \frac{3}{7} \right)=23^{\circ} to the nearest degree (bearings are normally given to the nearest degree)

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6. A boat sails 8 km north from P to Q and then sails 6 km west from Q to R. Calculate the bearing of R from P. Give your answer to the nearest degree.

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If the angle is more than 180^{\circ} and you do not have a full circle protractor then you should subtract the required angle from 360^{\circ} , and then measure this angle anticlockwise from the north line.

Bearingsize calculator

This north direction is usually provided in the maths exam question. We then measure the required angle in a clockwise direction. All bearings need to be given in three figures, so if the angle measured is less than 100 degrees, we must start the three-figure bearing with a zero.

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Make a scale drawing of a point Q 8 km away from a point P on a bearing of 110^{\circ} from P, using a scale of 1 cm : 2 km.

A common error is to use the anticlockwise angle as the bearing.E.g.The bearing of B from A is 080^{\circ} , a common mistake would be to use the co-interior angle as the back bearing of A from B as 100^{\circ} , calculating clockwise, the bearing of A from B should be 260^{\circ} .

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2Using your protractor, place the zero of the scale on the north line and measure the required angle clockwise, make a mark on your page at the angle needed.

Drawing a north line at B and extending the line from A to B shows us a corresponding angle. If we travel from A to B, we need to turn another 180^{\circ} to return back to A. 180^{\circ} + 70^{\circ} = 250^{\circ}