Question
Find the leg $ a $ of a right triangle if leg $b = 10\, \text{cm}$ and angle $\alpha = 3^o$.
Answer
$0.5241\, \text{cm}$
Explanation
To find leg $ a $ use formula:
$$ \tan \left( \alpha \right) = \dfrac{ a }{ b } $$After substituting $\alpha = 3^o$ and $b = 10\, \text{cm}$ we have:
$$ \tan( 3^o ) = \dfrac{ a }{ 10 } $$ $$ 0.0524 = \dfrac{ a }{ 10 } $$$$ a = 0.0524 \cdot 10 $$$$ a = 0.5241 $$This page was created using
Right Triangle Calculator