A 30-ft tree casts a shadow horizontally along the ground. A girl standing at the tip of the shadow is looking at a bird nesting at the top of the tree at an angle of 70°. The girl then walks away from the tip of the shadow some distance and looks up at the nest at an angle of 55°. How many feet did the girl walk from the tip of the shadow to her new location? Assume that you can neglect the height of the girl.