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The scale 1 cm represents 25 m can be written in the form 1 : k - OCR - GCSE Maths - Question 9 - 2019 - Paper 1
Question 9
The scale 1 cm represents 25 m can be written in the form 1 : k. Find the value of k. (b) The scale drawing represents a harbour. Scale: 1 cm represents 25 m A bo... show full transcript
Worked Solution & Example Answer:The scale 1 cm represents 25 m can be written in the form 1 : k - OCR - GCSE Maths - Question 9 - 2019 - Paper 1
Step 1
Step 2
Find by construction whether the path of the boat will follow the harbour rules.
Answer
- Start by locating points B, C, and D on the scale drawing.
- Draw the line segments BC and CD.
- To find the path that is equidistant from lines BC and CD, draw the angle bisector of the angle formed at point C by lines BC and CD.
- Mark point E with a radius of 75 m along the bisector from point C.
- Verify if the angle bisector intersects within the prohibited area of 75 m around point E.
- If the path intersects this area, the boat cannot sail that route without violating the harbour rules.
Include all construction lines to clarify your process.