Answer
$\alpha = 124°$
$\beta = 71°$
$\gamma = 140°$
Work Step by Step
To calculate the angles, we must first calculate the Unit Vector for force 1.
$U_{F_1} = -\cos 50° \cos 30° i + \cos 50° \sin30° j - \sin 50° k$
$U_{F_1} = -0.5567 i + 0.3214 j - 0.7660 k$
Now, we proceed to calculate the coordinate direction angles:
$\alpha = \cos^{-1} (-0.5567) = 124°$
$\beta = \cos^{-1} (0.3214) = 71°$
$\gamma = \cos^{-1} (-0.7660) = 140°$
