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Paper 2Core or Extended Mathematics4 marks
A boat is sailing on a bearing of 120° from a lighthouse. The boat is 80 m from the lighthouse. The lighthouse keeper wants to find the shortest distance from the boat to a straight shoreline running north-south, which is 60 m east of the lighthouse.
Description
Boat and Shoreline
The lighthouse is 60 m west of the shoreline. The boat is 80 m from the lighthouse on a bearing of 120°. Find the shortest distance from the boat to the shoreline.
- a[4]
Calculate the shortest distance from the boat to the shoreline, correct to one decimal place.
Aim for approximately 4 distinct marking points.
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Maths method check
- Topic focus: Right-angled triangles.
- Question style: structured_mathematics.
- Reasoning demand: reasoning.
- Check the operation, notation, units, and final answer form against the question before moving on.
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