2.
\includegraphics[max width=\textwidth, alt={}, center]{069a48ca-5453-4549-8a9a-0b0eeb2f08af-08_662_540_376_742} A uniform solid right circular cone has base radius \(a\) and semi-vertical angle \(\alpha\), where \(\tan \alpha = \frac { 1 } { 3 }\). The cone is freely suspended by a string attached at a point A on the rim of its base, and hangs in equilibrium with its axis of symmetry making an angle of \(\theta ^ { 0 }\) with the upward vertical, as shown in the diagram above. Find, to one decimal place, the value of \(\theta\).
[0pt] [Question 2 Continued]
[0pt] [Question 2 Continued]
[0pt] [Question 2 Continued]