Solve these problems and show every step

Use a right triangle to write the expression as an algebraic expression. Assume that x is positive and in the domain of the given inverse trigonometric function. 60) sinftan'1 x) \".12 2 2 A}" '1 B)" *1 0" *1 Ohm xZ-l x2+1 x2+l Solve the problem. 61) A surveyor is measuring the distance across a small lake. He has set up his transit on one side of the lake 90 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 50. What is the distance between the piling and the pier to the nearest foot? A} Ill? feet B) 69 feet C] 76 feet D) 58 feet 62) A building 300 feet tall casts a 50 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} 8034" B) 80.38\" C) 9.76\" D) 80.24\" 63) A straight trail with a uniform inclination of 12\" leads from a ledge at an elevation of 1000 feet to a mountain lake at an elevation of 9300 feet. What is the length of the trail (to the nearest foot}? A} 9508 feet B) 8485 feet C) 39,921 feet D) 44,731 feet Using a calculator, solve the following problems. Round your answers to the nearest tenth. 64) A ship is 49 miles west and 33 miles south of a harbor. What bearing should the captain set to sail directly to harbor? A} N 146.0\" E B} N 56.0\" E C) N 34.00 E D} N 79.0D E 60) 61) _ 62) 63) 64) Use a right triangle to write the expression as an algebraic expression. Assume that x is positive and in the domain of the given inverse trigonometric function. 65} cosIsin'I x) 2 A}'\\lx2+l B) x2-1 C) x *1 thlqz