Based on the oblique triangle as shown to the right, solve for the following: $($Note all angles, including solutions are in Degrees, Minutes and Seconds$)(2$ Points each$)$

a$.$ Solve for $B$;$,$ knowns $A=37{47}^{\text{'}}{50}^{\text{'}\text{'}},a=104\mathrm{.}73ft.,b=153\mathrm{.}71ft.$

b$.$ Solve for B; knowns A $=37{47}^{\text{'}}{50}^{\text{'}\text{'}},a=104\mathrm{.}73ft.,c=153\mathrm{.}71ft.$

c$.$ Solve for b; knowns B $=37{47}^{\text{'}}{50}^{\text{'}\text{'}},C=51{04}^{\text{'}}{15}^{\text{'}\text{'}},c=247\mathrm{.}93ft.$

d$.$ Solve for b; knowns $A=37{47}^{\text{'}}{50}^{\text{'}\text{'}},C=51{04}^{\text{'}}{15}^{\text{'}\text{'}},c=247\mathrm{.}93ft.$

e$.$ Solve for A; knowns a $=109\mathrm{.}31ft.,b=169\mathrm{.}80ft.,c=157\mathrm{.}73ft.$