Question
Find the side $ a $ of a rhombus if height $h = 0.75\, \text{cm}$ and angle $\alpha = 24.2075^o$.
Answer
$1.8291\, \text{cm}$
Explanation
To find side $ a $ use formula:
$$ \sin \left( \alpha \right) = \dfrac{ h }{ a } $$After substituting $\alpha = 24.2075^o$ and $h = 0.75\, \text{cm}$ we have:
$$ \sin( 24.2075^o ) = \dfrac{ 0.75\, \text{cm} }{ a } $$ $$ 0.41 = \dfrac{ 0.75\, \text{cm} }{ a } $$ $$ a = \dfrac{ 0.75\, \text{cm} }{ 0.41 } $$ $$ a = 1.8291\, \text{cm} $$This page was created using
Rhombus Calculator