${\displaystyle \underset{A}{\overset{?}{}}}{F}_x=0$:$,A_x+sin()T_{AB}=0$

${\displaystyle \underset{A}{\overset{?}{}}}{F}_y=0$:$,A_y-cos()T_{AB}-T_{AC}=0$

${\displaystyle \underset{B}{\overset{?}{}}}{F}_x=0$:$,-sin()T_{AB}-sin(30)T_{BC}=0$

${\displaystyle \underset{B}{\overset{?}{}}}{F}_y=0$:$,cos()T_{AB}-cos(30)T_{BC}=W$

${\displaystyle \underset{C}{\overset{?}{}}}{F}_x=0$:$,sin(30)T_{BC}+C_x=0$

${\displaystyle \underset{C}{\overset{?}{}}}{F}_y=0$:$,T_{AC}+cos(30)T_{BC}=0$

Define a function named trussSolve$()$ which takes as input:

W$,$ the input load in the problem

$=$ theta, the angle between the $AC$ and $AB$ truss members in degrees

and returns as output:

$=x,a61$ double array with components $T_{AB},T_{BC},T_{AC},A_x,A_Y,C_x$ in this order. These components represent the forces in the truss members at equilibrium.

Approach this problem by first formulating the above system of equations into a single matrix equation of the form $Ax=b,$ where for this problem $A$ is a $66$ matrix and $x,b$ are $61$ vectors. Your goal is to compose A and $b$ using the above equations and solve for the vector of unknows $x$ using MATLAB's backslash operator.

Example:

w $=10$;

theta $=30$;

x $=$ trussSolve$($W$,$ theta$)$;

Output:

$x=$

$5\mathrm{.}7735$

$-5\mathrm{.}7735$

$5\mathrm{.}0000$

$-2\mathrm{.}8868$

$10\mathrm{.}0000$

$2\mathrm{.}8868$

IN MATLAB please!