Resolve the 250 N force into components acting along the u and v axes and determine the magnitudes of these components.

#### Solution:

Show me the final answer↓

We will first draw the components along the u and v axes like so:

The angles were found using alternate interior angles theorem, corresponding angles theorem and consecutive angles theorem.

We can now draw the components tail to tail as follows:

We can now use sine law to figure out the forces.

\dfrac{250}{\sin120^0}\,=\,\dfrac{F_u}{\sin40^0}

(solve for F_u)

F_u\,=\,185.5 N

\dfrac{250}{\sin120^0}\,=\,\dfrac{F_v}{\sin20^0}

(solve for F_v)

F_v\,=\,98.7 N

#### Final Answers:

F_u\,=\,185.5 N

F_v\,=\,98.7 N