Answer
$B=75.4^{\circ}$.
$a=35.35\;cm$.
$c=140.23\;cm$.
Work Step by Step
The given values are
$A=14.60^{\circ}$
$b=135.7\;cm$.
In a right angle triangle sum of other two angles is $90^{\circ}$.
$A+B=90^{\circ}$
Isolate $B$.
$B=90^{\circ}-A$
Plug value of $A$.
$B=90^{\circ}-14.60^{\circ}$
Simplify.
$B=75.4^{\circ}$.
By using trigonometric ratios.
$\frac{b}{c}=\cos{A}$
Isolate $c$.
$c=\frac{b}{\cos{A}}$
Plug all values.
$c=\frac{135.7\;cm}{\cos{(14.60^{\circ})}}$
By using degree calculator simplify.
$c=140.23\;cm$ (rounded value).
By using trigonometric ratios.
$\frac{a}{b}=\tan{A}$
Isolate $a$.
$a=b\cdot \tan{A}$
Plug all values.
$a=(135.7\;cm)\cdot \tan{(14.60^{\circ})}$
By using degree calculator simplify.
$a=35.35\;cm$ (rounded value).
