$(35$ pts$)$ The $60-lb$ plant is supported by two cables and a strut as shown.

a$.(15$ pts $)$ Set up the problem to find the force developed in each cable and the strut if the system is in equilibrium $-$ do not solve.

b$.(5$ pts$)$ Determine the force developed in each cable and the strut.

c$.(5$ pts$)$ Determine the length of $AC$ and its coordinate direction angles.

d$.(5$ pts$)$ Determine the resultant force of cables $AB$ and $AC.$

e$.(5$ pts$)$ Determine the projection of the resultant found in part d on

i$.$ the $y-$axis.

ii$.$ strut $AO.$