Chapter 5, Problem 55PS

Given a point, a line from the point forms an angle with the horizontal axis to the right of the line. The line is said to terminate in one of four quadrants based on its angle (a) from the horizontal, as shown in figure 5-30.

Write a program that determines the quadrant, given a user-input angle. Use a function to read and validate the angle. Note: If the angle is exactly $0°,$ it is not in a quadrant but lies on the positive X-axis; if it is exactly $90°,$ it lies on the positive Y-axis; if it is exactly $180°,$ it lies on the negative X-axis; and if it is exactly $270°,$ it lies on the negative Y-axis. Test your program with the following data:

$0°,48.3°,90°,179.8°,180°,186°,270°,300°,\text{ and }360°$