Find the height $ h $ of a rhombus if side $a = 11.3137$ and angle $\alpha = 45^o$.
Answer
$h = 8$
Explanation
To find height $ h $ use formula:
$$ \sin \left( \alpha \right) = \dfrac{ h }{ a } $$After substituting $ \alpha = 45^o $ and $ a = 11.3137 $ we have:
$$ \sin( 45^o ) = \dfrac{ h }{ 11.3137 } $$ $$ \frac{\sqrt{ 2 }}{ 2 } = \dfrac{ h }{ 11.3137 } $$$$ h = \frac{\sqrt{ 2 }}{ 2 } \cdot 11.3137 $$$$ h = 8 $$This page was created using
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