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Which mathematical consequence helped Islamic engineers accurately determine the qibla direction using spherical astrolabes?

A)Solving quartic equations for inclination
B)Applying Boolean logic for simplification
C)Using vector calculus for transformation
D)Calculating quadratic solutions for altitude

💡 Explanation

Algebraic solutions, particularly calculating quadratic solutions for altitude, enabled accurate determination of the qibla because these equations related celestial altitudes to geographical coordinates according to sundial measurements. Therefore quadratic solutions were used, rather than quartic equation, Boolean logic, or vector calculus which require completely different geometric or computational approaches .

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