Assignment:
Q1. A surveyor is measuring the distance across a small lake. He has set up his transit on one side of the lake 130 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 55(degrees). What is the distance between the piling and the pier to the nearest foot?
Q2. 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 46 feet from point A and 66 feet from point B. The angle ACB is 45(degrees). How far apart are points A and B?
Q3. A surveyor standing 55meters from the base of a building measures the angle to the top of the building and finds it to be 37(degrees). The surveyor then measures the angle to the top of the radio tower on the building and finds that it is 50(degrees). How tall is the radio tower?
Provide complete and step by step solution for the question and show calculations and use formulas.