Two forces P$1=90$ lb and P$2=70$ lb are applied to the circular basketball rim at A$.$ The forcesare in a vertical plane that includes the line OA$.$ The force P$1$ is oriented vertically, parallel to the$-$axis, and the angle between P$1$ and P$2$ in the same plane is $80\backslash$deg $\mathrm{.}1.$ Determine the resultant force R$,$ and its angle relative to the vertical direction $($positive zaxis$)\mathrm{.}2.$ Express the resultant force R as a vector$\mathrm{.}3.$ Determine the equivalent forcecouple system at point B caused by the resultant force,wherepoint B is at the center of the rim mounting bracket on the backboard.Notes:The rim is circular in the horizontal plane with a radius of $9$ inches.In the XY$-$plane, the angle between line OA and the y$-$axis is $30\backslash$deg $.$The horizontal distance between the backboard and the center of the rim $($Point O$)$ is $15$ inches.