Question
Find the height $ h $ of a rhombus if side $a = 4050\, \text{cm}$ and angle $\alpha = 12.5^o$.
Answer
$876.5804\, \text{cm}$
Explanation
To find height $ h $ use formula:
$$ \sin \left( \alpha \right) = \dfrac{ h }{ a } $$After substituting $\alpha = 12.5^o$ and $a = 4050\, \text{cm}$ we have:
$$ \sin( 12.5^o ) = \dfrac{ h }{ 4050 } $$ $$ 0.2164 = \dfrac{ h }{ 4050 } $$$$ h = 0.2164 \cdot 4050 $$$$ h = 876.5804 $$This page was created using
Rhombus Calculator