A ship is sailing on a path that will take it directly over an occupied research lab on the ocean floor. Initially, the lab is 1000 yards from the ship on a line that makes an angle of 6∘ with the surface. When the ship's slant distance has decreased to 400 yd, the ship can contact people in the lab by underwater telephone. Find the two distances from the starting point at which the ship is at a slant distance of 400 yd from the lab.