Displacements
When there are a series of displacements (movements) we can represent these in a scale diagram and then get further information from the diagram.
Example
A helicopter (H) leaves its base (B) and flies \(56\,km\) East in a straight line.
It then turns to face South East and flies straight for \(34\,km\).
How far is it now from its base?
A reasonable scale for this is \(1\,cm\) represents \(10\,km\)
The \(56\,km\) part of the flight is drawn as \(5.6\,cm\).
The \(34\,km\) part of the flight is drawn as \(3.4\,cm\).
(Revision on the directions East and South East can be found in the Bitesize Navigation section).
We can then measure the distance from B to H.
This is about \(8.4\,cm\). (You are allowed to be slightly different from this.
We then have to use the scale in reverse to convert this distance to \(84\,km\).
Task
Make a scale drawing of the helicopter flight shown in the example.
