Answer
$a=651 \; m$.
$c=3735 \; m$.
Work Step by Step
The given values are
$a=3678\; m$
$B=10.04^{\circ}$
By using trigonometric ratios in the figure Illustration 1.
$\frac{a}{c}=\cos{B}$
Isolate $c$.
$c=\frac{a}{\cos{B}}$
Plug all values.
$c=\frac{3678\; m}{\cos{10.04^{\circ}}}$
Simplify (Use degree calculator).
$c=3735 \; m$ (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.
$b=(3678\; m)\cdot \tan{(10.04^{\circ})}$
Simplify (Use degree calculator).
$a=651 \; m$ (rounded value).
