Answer
$$a=62.5ft$$
$$c=68.9ft$$
Work Step by Step
To find side a we can use the trigonometric ratio for tangent
$tanA=\frac{a}{b}$
Where
$A=65.2°$
$b=28.9ft$
Solving for a we get:
$a=b*tanA$
$a=28.9ft*tan(65.2°)$
$a=28.9ft*2.1642$
$a=62.5ft$
To find side c (the hypotenuse), we can use the trigonometric ratio for sine.
$cosA=\frac{b}{c}$
Where
$A=65.2°$
$b=28.9ft$
Solving for c we get:
$c=\frac{b}{cosA}$
$c=\frac{28.9ft}{cos(65.2°)}$
$c=\frac{28.9ft}{0.4195}$
$c=68.9ft$
