Bearings & Constructions (DP IB Applications & Interpretation (AI)): Revision Note
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Bearings
What are bearings?
Bearings are a way of describing directions using angles
Bearings follow three rules:
They are measured from the North direction
An arrow showing the North line should be included on the diagram
They are measured clockwise
The angle is always written in 3 figures
If the angle is less than 100° the first digit will be a zero
How can I use bearings with trigonometry?
A question might give you:
at least three locations
bearings between some of the locations
distances between some of the locations
You might have to find a missing distance or bearing
Draw a triangle between the three relevant locations
Label any known distances and angles
You might have to subtract a bearing from 360° or another angle to find the angle in the triangle
Use the sine and/or cosine rule to find the required answer
Examiner Tips and Tricks
Always draw a big, clear diagram and annotate it, be especially careful to label the angles in the correct places!
Worked Example
The point B is 7 km from A on a bearing of 105°. The distance from B to C is 5 km and the bearing from B to C is 230°. Find the distance from A to C.

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Constructing Diagrams
What diagrams do I need to construct?
You are expected to construct diagrams based on information given
The information might include compass directions, bearings, angles
Look out for the plane the diagram should be drawn in
It will either be horizontal (something occurring at sea or on the ground)
Or it will be vertical (Including height)
Work through the statements given in the instructions systematically
What do I need to know?
You are just required to draw sketches
However, the more accurate your diagram is the easier it is to work with
Make sure you know your compass directions
Due east means on a bearing of 090°
Draw the line directly to the right
Due south means on a bearing of 180°
Draw the line vertically downwards
Due west means on a bearing of 270°
Draw the line directly to the left
Due north means on a bearing of 360° (or 000°)
Draw the line vertically upwards
Using the above bearings for compass directions will help you to estimate angles for other bearings on your diagram
Examiner Tips and Tricks
Draw your diagrams in pencil so that you can easily erase any errors.
Worked Example
A city at B is due east of a city at A and A is due north of a city at E. A city at C is due south of B.
The bearing from A to D is 155° and the bearing from D to C is 30°.
The distance AB = 50 km, the distances BC = CD = 30 km and the distances DE = AE = 40 km.
Draw and label a diagram to show the cities A, B, C, D and E and clearly mark the bearings and distances given.

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