Problem #$3$: Perpendicular distance from a point to a line $(12$ points$)$

Line JK has and azimuth of $115{07}^{\text{'}}{24}^{\text{'}\text{'}}.$ The length of line JK is $609\mathrm{.}85$ feet. Point J has coordinates of $(225\mathrm{.}96,307\mathrm{.}72).$ Point $L$ has coordinates of $(396\mathrm{.}51,318\mathrm{.}25)$ and is not located on line JK$.$ Determine the following:

a$.$ coordinates of point $K$

b$.$ the equation of the line JK

c$.$ the perpendicular distance between line JK and Point L$.$