Find the side $ a $ of a rhombus if height $h = 3$ and angle $\alpha = 50^o$.
Answer
$a = 3.9162$
Explanation
To find side $ a $ use formula:
$$ \sin \left( \alpha \right) = \dfrac{ h }{ a } $$After substituting $ \alpha = 50^o $ and $ h = 3 $ we have:
$$ \sin( 50^o ) = \dfrac{ 3 }{ a } $$ $$ 0.766 = \dfrac{ 3 }{ a } $$ $$ a = \dfrac{ 3 }{ 0.766 } $$ $$ a = 3.9162 $$This page was created using
Rhombus Calculator