In a scale diagram, we plot a course according to the distances and bearings given in the question. We use a suitable scale to reduce the size of the distances involved.

**Example**

A plane flies 94 miles on a bearing of 070º and then a further 56 miles due East. It then makes another turn and flies another 87 miles on a bearing of 130º.

Use a scale drawing with a scale of 1cm to 10 miles to plot this journey and find the distance and bearing on which the plane must now fly to return directly to its starting point.

**Answer**

Here is a sketch of the scale drawing. The red line shows the plane's route.

From the diagram, we can measure the return bearing as** 276º**.

The return distance is 21.1 cm which represents **211 miles**.