# Problem solving with bearings

I can use my knowledge of bearings to solve problems.

# Problem solving with bearings

I can use my knowledge of bearings to solve problems.

## Lesson details

### Key learning points

- Right-angled trigonometry may be useful when dealing with bearings.
- Right-angled trigonometry can help you calculate more information.
- Angle facts can be a simpler way of deducing information.

### Common misconception

Pupils do not measure the angle from North and simply measure the angle between two line segments.

Reiterate bearings are always measured from North, in a clockwise direction and stated as 3 figures. Encourage pupils to draw North on the correct position before attempting the question.

### Keywords

Transversal - A transversal is a line, line segment, or ray that intersects through two or more lines at distinct (different) points.

Corresponding - Corresponding angles are a pair of angles at different vertices on the same side of a transversal in equivalent positions.

Alternate - Alternate angles are a pair of angles, both between or both outside two line segments, that are on opposite sides of the transversal that cuts them.

Co-interior - Co-interior angles are on the same side of the transversal line and in between the two other lines.

Bearing - A bearing is an angle measured in degrees from North in the clockwise direction and written with three figures.

### Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Video

Loading...

## Starter quiz

### 6 Questions

Equilateral triangle -

60°

Square -

90°

Pentagon -

108°

Hexagon -

120°

## Exit quiz

### 6 Questions

Due South -

has a bearing of 180°

Due West -

has a bearing of 270°

Due East -

has a bearing of 090°

Due North-East -

has a bearing of 045°

Due South-East -

has a bearing of 135°

Due South-West -

has a bearing of 225°

Bearing from X to Y -

030°

Bearing from Y to X -

210°

Bearing from X to Z -

090°

Bearing from Z to X -

270°

Always true -

The sum of co-interior angles is always 180°

Never true -

Angles around a point sum to 180°

Sometimes true -

If the bearing from A to B is $$x$$° then B to A is 180°+ $$x$$°