The architect stands 6 feet from a climbing frame, looking up at the top of the frame at an angle of 63.43°. It is 5 and a half feet from ground to the architect’s eyes. The vertical distance from eye level to the top of the climbing frame is feet. The height of the entire climbing frame is feet.

Ian is in training for a national hot dog eating contest on the 4th of july. on his first day of training, he eats 4 hot dogs. each day, he plans to eat 110% of the number of hot dogs he ate the previous day. write an explicit formula that could be used to find the number of hot dogs ian will eat on any particular day.