The light in a lighthouse revolves around an axis. The beam of light is perpendicular to the axis but the axis is not vertical. Because the axis is tilted, when the light beam points east it is inclined upward at 3 degree(s). When the beam points north, it is inclined upward at 6 degree(s). What is the maximum angle of elevation of the light beam? (Give at least five decimals of accuracy.)
degrees