Answer
$b=7056\;ft$.
$c=12092\;ft$.
Work Step by Step
The given values are
$a=9820\;ft$
$B=35.7^{\circ}$.
By using trigonometric ratios in the figure Illustration 1.
$\frac{a}{c}=cosB$
Isolate $c$.
$c=\frac{a}{\cos{B}}$
Plug all values.
$c=\frac{9820\;ft}{\cos{35.7^{\circ}}}$
Simplify (Use degree calculator).
$c=12092\;ft$ (rounded value).
By using trigonometric ratios in the figure Illustration 1.
$\frac{b}{a}=\tan{B}$
Isolate $b$.
$b=a\cdot \tan{B}$
Plug all values.
$b=(9820\;ft)⋅tan(35.7^{\circ})$
Simplify (Use degree calculator).
$b=7056\;ft$ (rounded value).