In the national park, the distance between the base of two cliffs is 312 feet. The angle of elevation from the base of the shorter cliff to the top of the taller cliff is 35 degrees. The angle of elevation from the base of the taller cliff to the top of the shorter cliff is 27 degrees. The tops of the two cliffs are joined by a bridge of length x, as modeled below. What is the length of he bridge, x, to the nearest foot? Show your work and explain how you determined your answer. (Picture provided)