Hello experts, could you help me with this exercise, thank you.

material resistance activity $1$:

Member ABC $,$ supported by a pin and bracket at C and a cable BD $,$ was designed to support the load P of $36$ kN shown in the figure. Knowing that the ultimate load for cable $BD$ is $100$ kN $,$ the force in cable BD and the factor of safety with respect to cable failure are:

Choosethe correct option and carry out the entire procedure:

a$.F\{BD\}=47\mathrm{.}2kN,F,S.=2\mathrm{.}1$

b$.F\{BD\}=65\mathrm{.}3KN,F.S.=1\mathrm{.}5$

c$.F\{BD\}=26kN,F.S.=3\mathrm{.}8$

d$.F\{BD\}=36kN,F.S=2\mathrm{.}6$