An engineer is designing a radar system for an aircraft to detect and track targets in multiple dimensions. To achieve accurate tracking, the engineer needs to use a special radar antenna that can adjust its beam direction with prisms. The amount of beam shift caused by the prism is measured in prism units. The radar system needs to correct 24 prism units horizontally and 7 prism units vertically. A prism that compensates for both requirements should have length 'L' and be set at angle 'α.' Determine the values of 'L' and 'α' in the figure.