If a 20-foot ladder is placed on the side of a building at a 85-degree angle, as shown in Figure 3.9, the height at which the ladder touches the building can be calculated as height = 20 × sin 85°. Calculate this height by hand, and then write, compile, and run a C++ program that determines and displays the value of the height. After verifying that your program works correctly, use it to determine the height of a 25-foot ladder placed at an angle of 85 degrees.