Question $1$

Given $h=10\mathrm{.}0m$ and $=30,$ determine

$($a$)$ the vector form of $F_B$ and $F_C,$

$($b$)$ the resultant force of $F_B$ and $F_C$ applied at point $A,$ and its angle measured from the $x-$axis,

$($c$)$ the angle between these two forces $F_B$ and $F_C,$

$($d$)$ the projection of $F_C$ onto line $AD,$

$($e$)$ the moment of $F_C$ about point B $,$ and

$($f$)$ the moment of $F_C$ about the OB axis.

The drawings in the figure are not to scale. All numbers should be rounded to $2$ decimal places.