<image>As shown in the figure, during the construction of pathways in the Shanghai World Expo venue, construction workers modified a sloped pathway with a length of 10 meters (AB=10 meters) and a slope angle of 20°30′ (∠BAC=20°30′) into a new sloped pathway with a slope angle of 12°30′ (∠BDC=12°30′). The starting point of the slope was moved from point A to point D to the left. Determine the length of the newly constructed sloped pathway BD.
(The result should be accurate to 0.1 meters. Reference data: sin12°30′≈0.21, sin20°30′≈0.35, sin69°30′≈0.94).
