Answer
$$b=54.9m$$
$$c=58.4m$$
Work Step by Step
To find side b, we can use the trigonometric ratio for tangent
$tanA=\frac{a}{b}$
Where
$A=19.75°$
$a=19.72m$
Solving for b we get:
$b=\frac{a}{tanA}$
$b=\frac{19.72m}{tan(19.75°)}$
$b=\frac{19.72m}{0.3590}$
$b=54.9m$
To find side c (the hypotenuse), we can use the trigonometric ratio for sine.
$sinA=\frac{a}{c}$
Where
$A=19.75°$
$a=19.72m$
Solving for c we get:
$c=\frac{a}{sinA}$
$c=\frac{19.72m}{sin(19.75°)}$
$c=\frac{19.72m}{0.3379}$
$c=58.4m$
