Answer
$$a=6,687.7km$$
$$c=29,956.06km$$
Work Step by Step
To find side a, we can use the trigonometric ratio for tangent
$tanA=\frac{a}{b}$
Where
$A=12.9°$
$b=29,200km$
Solving for a we get:
$a=b*tanA$
$a=29,200km*tan(12.9°)$
$a=29,200km*0.2290$
$a=6,687.7km$
To find side c (the hypotenuse), we can use the trigonometric ratio for cosine.
$cosA=\frac{b}{c}$
Where
$A=12.9°$
$b=29,200km$
Solving for c we get:
$c=\frac{b}{cosA}$
$c=\frac{29,200km}{cos(12.9°)}$
$c=\frac{29,200km}{0.9748}$
$c=29,956.06km$
