\[
{ }^{1} \boldsymbol{R}_{2}=\left[\begin{array}{ccc}
0.87 & -0.43 & 0.25 \\
0.50 & 0.75 & -0.43 \\
0 & 0.50 & 0.87
\end{array}\right]
\]
Determine the corresponding set of \( Z Y X \)-Euler angles
2.23 If the rotation matrix \( { }^{1} \boldsymbol{R}_{2} \) in Exercise 2.22 corresponds to the fixed angle rotations, determine the corresponding set of roll, pitch, and yaw angles.
2.24 In a roll-pitch-roll convention, roll stands