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An arch is in the form of a semi ellipse. It is 8 m wide and 2 m high at the centre.

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An arch is in the form of a semi ellipse. It is 8 m wide and 2 m high at the centre. Find the height of the arch at a point 1.5 m from one end.

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Equation of the arch be

Required height of the arch at a point Q, 1.5 m from one end A is 1.56 m.

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