STEP 1: find height $ h $
To find height $ h $ use formula:
$$ \sin \left( \alpha \right) = \dfrac{ h }{ c } $$After substituting $ \alpha = 90^o $ and $ c = 8 $ we have:
$$ \sin( 90^o ) = \dfrac{ h }{ 8 } $$ $$ 1 = \dfrac{ h }{ 8 } $$$$ h = 1 \cdot 8 $$$$ h = 8 $$STEP 2: find side $ x $
To find side $ x $ use Pythagorean Theorem:
$$ h^2 + x^2 = c^2 $$After substituting $ h = 8 $ and $ c = 8 $ we have:
$$ 8^2 + x^2 = 8^2 $$ $$ x^2 = 8^2 - 8^2 $$ $$ x^2 = 64 - 64 $$ $$ x^2 = 0 $$This equation has no solution $ \Longrightarrow $ The problem has no solution.