Question 1062536
Those forces are like this:

<pre>
F1:  90 degrees, 10 Newtons
F2:  30 degrees, 30 N
F3:  10 degrees, 20 N
F4:  120 degrees, 10 N
</pre>


Put them into components.
West-East Component
{{{10*cos(90)+30*cos(30)+20*cos(10)+10*cos(120)}}}
{{{0+30sqrt(3)/2+20*cos(10)+10*(-sqrt(3)/2)}}}
{{{15*sqrt(3)+20*cos(10)-5*sqrt(3)}}}
{{{10*sqr(3)+20*cos(10)}}}
North-South Component
{{{10*sin(90)+30*sin(30)+20*sin(10)+10*sin(120)}}}
{{{10+30(1/2)+20*sin(10)-10(1/2)}}}
{{{10+15-5+20*sin(10)}}}
{{{20+20*sin(10)}}}


These forces make an EASTWARD component {{{10*sqrt(3)+20*cos(10)}}}, and a NORTHWARD component {{{20+20*sin(10)}}}.  Units are Newtons.
Decimal Approximations:
EASTWARD 37.017 Newtons
NORTHWARD 23.473 Newtons
-
Angle Direction? 
{{{tan(p)=23.473/37.017}}}
{{{tan(p)=0.63411}}}
{{{highlight(p=32.4*degrees)}}}
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Magnitude?
{{{sqrt(37.017^2+23.473^2)}}}
{{{highlight(26.2*newtons)}}}