A man standing directly opposite to one side of a road of width x meter views a circular shaped traffic green signal of diameter a meter on the other side of the road. The bottom of the green signal is b meter height from the horizontal level of viewer’s eye. If a denotes the angle subtended by the diameter of the green signal at the viewer’s eye, then prove that α = tan-1 ((a + b)/x) - tan-1 (b/x)