A force acts at the origin of a coordinate system in a direction defined by the angles
θ
x
=
70.
9
∘
θx=70.9
∘
and
θ
y
=
144.
9
∘
θy=144.9
∘
. Knowing that the z component of the force is –52.0 lb, determine (a) the angle
θ
z
θz, (b) the other components and the magnitude of the force.