Padra is planning to create a lounge area on the north side of his house that is shaded from the sun by the house. he attaches a rope to the edge of the roof ten feet above the ground. at exactly 3: 00 p. m., padra pulls his end of the rope to where the shadow of the roof ends on the ground, and he sees that the rope and the ground create a 52° angle. he marks this as the boundary for his construction. approximately how far away from the base of the house must padra extend the lounge area?