inverted king post 01

The truss shown is called a king-post truss. It is inverted, such that the structure lies below the plane of the supports. Find the reactions at the supports and the forces carried in each member when a force of $F$ = 12.5 kN is applied and the dimensions of the truss are given below.

a = 2 m
$\theta$ = 47 degrees
$\phi$ = 66 degrees

Designate members in compression with negative values, and members in tension with positive values.

$R_{A_{horizontal}}$ =

$R_{A_{vertical}}$ =

$R_{C_{vertical}}$ =

$T_{AB}$ =

$T_{BC}$ =

$T_{CD}$ =

$T_{AD}$ =

$T_{BD}$ =

be sure to include units with your answers