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Which algebraic mechanism allowed 9th-century Islamic engineers to precisely determine qibla direction using astrolabes?

A)Spherical trigonometry for coordinate transformation
B)Geometric series for approximating lunar cycles
C)Matrix algebra for planetary orbit calculations
D)Boolean algebra for logical gate control

💡 Explanation

Islamic engineers utilized spherical trigonometry because it establishes spatial relationships, enabling conversion between celestial coordinates (altitude/azimuth) and Earth-based coordinates (latitude/longitude) for qibla calculation. Therefore spherical trigonometry is correct, rather than series, matrix, or boolean algebra, which are ill-suited for coordinate transformations.

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