Question
Find the leg $ a $ of a right triangle if leg $b = 24\, \text{cm}$ and angle $\alpha = \frac{ 187 }{ 5 }^o$.
Answer
$18.3494\, \text{cm}$
Explanation
To find leg $ a $ use formula:
$$ \tan \left( \alpha \right) = \dfrac{ a }{ b } $$After substituting $\alpha = \dfrac{ 187 }{ 5 }^o$ and $b = 24\, \text{cm}$ we have:
$$ \tan( \frac{ 187 }{ 5 }^o ) = \dfrac{ a }{ 24 } $$ $$ 0.7646 = \dfrac{ a }{ 24 } $$$$ a = 0.7646 \cdot 24 $$$$ a = 18.3494 $$This page was created using
Right Triangle Calculator