Solve the problem. 41) A building 290 feet tall casts a 100 foot long shadow. If a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the person's eyes to the top of the building (to the nearest hundredth of a degree)? (Assume the person's eyes are 5 feet above ground level.) A) 70.97° B) 69.46° C) 70.67° D) 20.54° 42) A surveyor is measuring the distance across a small lake. He has set up his transit on one side of the lake 140 feet from a piling that is directly across from a pier on the other side of the lake. From his transit, the angle between the piling and the pier is 70°. What is the distance between the piling and the pier to the nearest foot? A) 48 feet B) 385 feet C) 51 feet D) 132 feet 43) A straight trail with a uniform inclination of 12° leads from a lodge at an elevation of 600 feet to a mountain lake at an elevation of 5100 feet. What is the length of the trail (to the nearest foot)? A) 24,530 feet B) 21,644 feet C) 5214 feet D) 4601 feet