The diagram represents a coastline - OCR - GCSE Maths - Question 5 - 2023 - Paper 6
Question 5
The diagram represents a coastline.
A, B and C are lighthouses.
A boat is
- the same distance from A and B
- the same distance from AB and BC.
Using a ruler and c... show full transcript
Worked Solution & Example Answer:The diagram represents a coastline - OCR - GCSE Maths - Question 5 - 2023 - Paper 6
Step 1
1. Construct the Perpendicular Bisector of AB
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Using a compass, place the point on A and draw an arc above and below the line AB. Repeat this step with the point on B, ensuring that the arcs intersect.
Draw a straight line through the intersection points of the arcs. This line is the perpendicular bisector of AB.
Step 2
2. Construct the Perpendicular Bisector of BC
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Repeat the process for segment BC. Place the compass point on B and draw arcs above and below line BC. Then, place the compass point on C and draw intersecting arcs.
Draw a straight line through the intersection of the arcs to create the perpendicular bisector of BC.
Step 3
3. Identify the Position of the Boat
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
The position of the boat is where the two perpendicular bisectors intersect. Mark this point clearly and label it as the position of the boat.