Height of a circular log above water

Height of a circular log above water

Secondary 2
3 marks
TGM Original Questions

Core stretch

A circular log has radius \(1.3\) m. Its horizontal waterline is a chord of length \(2.0\) m below the centre. Find the vertical height of the log above the water.[3]

You may use the fact that the perpendicular from the centre of a circle to a chord bisects the chord.

Solution:

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Answer:\(1.3+\sqrt{0.69}\approx2.13\) m.

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