The length and width of a rectangle are 3w and w, respectively. The length of the hypotenuse of a 30-60-90 triangle is 2w. What is the ratio of the area of the rectangle to the area of the triangle?

Aflagpole broke in a storm. it was originally 8 1 81 feet tall. 2 8 28 feet are still sticking straight out of the ground, where it snapped, but the remaining piece has hinged over and touches the ground some distance away. how far away is the end of the pole from the base of the pole along the ground?