Answer
$a= 310.8\ ft$, $b= 230.8\ ft$, and $B= 36^\circ36'$
Work Step by Step
Given $A=53^\circ24', c=387.1\ ft$, we have $a=c\ sinA=387.1sin(53^\circ24')\approx310.8\ ft$, $b=c\ cosA=387.1cos(53^\circ24')\approx230.8\ ft$, and $B=90^\circ-53^\circ24'=36^\circ36'$
