Can someone please help with showing the working out fully in details; Thank you

20. Solve the triangle using the information given. a=2,b=4, C: 110\" 21. Solve the triangle using the information given. a=55,b=25, c=72 22. Two points A and B are on opposite sides of a building. A surveyor selects a third point C to place a transit. Point C is 51 feet from point A and 72 feet from point B. The angle ACE is 58". How far apart are points A and B? 23. The navigator of a ship at sea spots two lighthouses that she knows to be 3 miles apart along a straight seashore. She determines that the angles formed between two line-of-sight observations of the lighthouses and the line from the ship directly to shore are 15 and 35". (See the picture below for a partial drawing.) How far is the ship from lighthouse L1? How far is the ship from lighthouse L2? L1 L2 35 24. Because of prevailing winds, a tree grew so that it was leaning 6" from the vertical. At a point 43 meters from the tree, the angle of elevation to the top of the tree is 30" (see gure). Find the height a of the tree. Round to the nearest tenth of a meter. 25. A major league baseball diamond is actually a square 90 ft on a side. The pitching rubber is located 60.5 ft from home plate on a line joining home plate and second base. How far is it from the pitching rubber to rst base? 26. To approximate the length of a marsh, a surveyor walks 255 meters from point A to point B, then tums 31 and walks 225 meters to point C (see gure). Approximate the length AC of the marsh