3. (16 points) A bridge over a river was damaged in an earthquake and, as someone who aced the trigonometry portion of Math 125, you are called in to determine the length d of the steel beam needed to fill the gap. You cannot be on the bridge, but you are able to measure the vertical distance from the bridge down to point P on the river to be 80 feet From P, you measure the angles of elevation to the two ends of the gap to be 47 and 32" a) What is the distance from point P.to point R? Find the exact value, do not use a calculator Gap Can 32" - 80 a tan 32 = a BO n 80 32 b) What is the distance from point P to point Q? Find the exact value, do not use a calculator tan 470 = 80 c) How wide is the gap? Find the exact value, do not use a calculator