Please add more than one test case. Otherwise, the problem can be obviated by simply hard-coding solutions. You mention that with some data sets there could be more than one solution. Well, please put in the time and effort to develop a suitable test suite with such test cases included. Three or four test cases should be a minimum.

You must be a robot, James, to be able to discern the angle you throw something to the nearest thousandth of a degree, and at such high speeds...about 30% the speed of sound. I wish I had your arm.

Please supply more than one test case and check each and every problem before posting. The current test suite has the wrong answer for the only case and can, therefore, not be properly solved.

This is a slightly different, and easier, version of these problems:
http://www.mathworks.com/matlabcentral/cody/problems/392-clock-hand-angle-1
http://www.mathworks.com/matlabcentral/cody/problems/1206-angles-of-the-hands-of-a-clock