Which innovation allowed medieval Islamic engineers to more precisely determine Qibla direction, even at extreme distances?

💡 Explanation

When calculating Qibla from afar, sine, cosine, and tangent ratios are necessary because these allow the earth's spherical geometry to be expressed numerically allowing for more precise direction and location calculation. Therefore trigonometry results in a more accurate direction, rather than sundials(time), surveying(local measurements), or network(information but not core calculation).

• Which risk increased when Roman siege engineers undermined fortress walls with tunnels during the siege of Alesia?
• Which structural consequence appears from geometrically similar arches not scaled proportionally with varying span?
• Which risk increased due to incomplete Roman concrete curing in coastal fortifications?
• Which consequence resulted from intensive maize cultivation during the Mayan Classic Period collapse?
• Which challenge occurred integrating early chronometers aboard wooden sailing ships due to variations in deck temperature?
• Which mechanical consequence resulted from rapid catapult arm deceleration upon projectile release during Roman siege warfare?