Answer
$A=60.14^{\circ}$.
$c=83.74\;m$.
$b=41.69\;m$.
Work Step by Step
The given values are
$B=29.86^{\circ}$
$a=72.62\;m$.
In a right angle triangle sum of other two angles is $90^{\circ}$.
$A+B=90^{\circ}$
Isolate $A$.
$A=90^{\circ}-B$
Plug value of $B$.
$A=90^{\circ}-29.86^{\circ}$
Simplify.
$A=60.14^{\circ}$.
By using trigonometric ratios.
$\frac{a}{c}=\cos{B}$
Isolate $c$.
$c=\frac{a}{\cos{B}}$
Plug all values.
$c=\frac{72.62\;m}{\cos{(29.86^{\circ})}}$
By using degree calculator simplify.
$c=83.74\;m$ (rounded value).
By using trigonometric ratios.
$\frac{b}{a}=\tan{B}$
Isolate $b$.
$b=a\cdot \tan{B}$
Plug all values.
$b=(72.62\;m)\cdot \tan{(29.86^{\circ})}$
By using degree calculator simplify.
$b=41.69\;m$ (rounded value).
