Answer
$a= 571m$, $b= 777m$, $B= 53^\circ40'$
Work Step by Step
Use the definitions of sine and cosine, we have $a=964sin(36^\circ20')\approx571m$, $b=964cos(36^\circ20')\approx777m$, and angle $B=90^\circ-36^\circ20'=53^\circ40'$
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