Answer
882.2
Work Step by Step
Using the area formula:
$\frac{1}{2}$b*c*sinA = $\frac{1}{2}$a*b*sinC = $\frac{1}{2}$a*c*sinB
B = $54^{o}$ 30'
a = 62
c = 35
There are 60 minutes in a degree so 30 minutes is .5 of a degree. Therefore, A can be rewritten as:
A = $54.5^{o}$
Area = $\frac{1}{2}$62*35*sin(54.5) = 882.2