A port has two radar stations at P and Q which are 20 km apart.The radar at P is set to a range of 20 km,whilst the radar at Q is set to a range of 15 km.

a)draw a scale diagram to show the above information

b)Shade the region in which a ship must be sailing if it is only picked up by radar P.Label this region "a".

c)Shade the region in which a ship must be sailing if it is only picked up by radar Q.Label this region "b".

d)Identify the region in which a ship must be sailing if it is picked up by both radars.Label this region "c".

Note-a new scale diagram must be drawn for each sub question.The same diagram may not be used for all sub-questions.

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a) To draw a scale diagram, we need to determine a suitable scale that accurately represents the distances involved. Let's assume 1 cm on the diagram represents 5 km in real life.

So, we start by drawing a straight line segment PQ with a length of 20 km. Label point P on the left end and point Q on the right end.

b) For this part, we need to shade the region in which a ship must be sailing if it is only picked up by radar P. Since radar P has a range of 20 km, we draw a circle centered at point P with a radius of 20 km. Label this shaded region as "a".

c) Similarly, we need to shade the region in which a ship must be sailing if it is only picked up by radar Q. Radar Q has a range of 15 km, so draw a circle centered at point Q with a radius of 15 km. Label this shaded region as "b".

d) To identify the region in which a ship must be sailing if it is picked up by both radars, we need to find the intersection area of the shaded regions "a" and "b". This region will determine where the ship must be located to be within range of both radar stations.

Draw this intersection region and label it as "c".

Please note that the scale used in the diagram is just an example. You can adjust the scale based on the available space on your paper to represent the distances accurately.