In an experiment designed to measure the speed of light, a laser is aimed at a mirror that is 47 kilometer due north. A detector is located 103 meter due east of the laser. The mirror is to be aligned so that light from the laser reflects into the detector.
(a) When properly aligned, find what angle should the normal to the surface of the mirror make with due south?
(b) Assume the mirror is misaligned, so that the actual angle between the normal to the surface and due south is too large by 0.0020 degree. Find by how many meters will the reflected ray miss the detector?