Step-by-step explanation:
Componets of a vector are
[tex]x = r \cos(x) [/tex]
[tex]y =r \sin(x) [/tex]
The vector of F1 has a angle of 30 and radius of 30 n so the component are
[tex]x = 30( \cos(30) ) = {15 \sqrt{3} }[/tex]
[tex]y = 30 \sin(30) = 15[/tex]
F2 is a 90 degree so
[tex]x = 20 \cos(90) = 0[/tex]
[tex]y = 20\sin(90) = 20[/tex]
F3 is a 240 degree so we have
[tex]x = 35( \cos(240) ) = - 17.5[/tex]
[tex]y = 35 \sin(240) = - 17.5 \sqrt{3} [/tex]
F4 is 310 angle so we have
[tex]x = 40 \cos(310) = - 21.01[/tex]
[tex]y = 40 \sin(310) = 34.04[/tex]
