Find the side $ a $ of a rhombus if height $h = 4$ and angle $\alpha = 145^o$.
Answer
$a = 6.9738$
Explanation
To find side $ a $ use formula:
$$ \sin \left( \alpha \right) = \dfrac{ h }{ a } $$After substituting $ \alpha = 145^o $ and $ h = 4 $ we have:
$$ \sin( 145^o ) = \dfrac{ 4 }{ a } $$ $$ 0.5736 = \dfrac{ 4 }{ a } $$ $$ a = \dfrac{ 4 }{ 0.5736 } $$ $$ a = 6.9738 $$This page was created using
Rhombus Calculator