Application of sine and cosine assignment. ||||||| Please show work and read the question carefully

GSE Precalculus Applications of Sine and Cosine Handout Name Read each problem below carefully. Draw a diagram and show all your work to solve each problem. 1. A 125-foot tower is located on a hill that is inclined 23 to the horizontal, as shown in the image below. A guy-wire is to be attached to the top of the tower and anchored at a point 95 feet uphill from the base of the tower. What is the length of wire needed? Round your answer to the nearest foot. 95 23 2. A pilot flies in a straight path for 120 minutes. She then makes a course correction, heading 10 to the right of her original course, and flies 95 minutes in the new direction. If she maintains a constant speed of 780 miles per hour, how far is she from her starting position? Round your answer to the nearest mile. (Draw a sketch first.) 3. A pilot is flying over a straight highway. He determines the angles of depressions to two mileposts that are 5.2 km apart, to be 58 and 30. Find the distance from the plane to point A. 300 58 A 5.2 km