Question
Find the leg $ a $ of a right triangle if leg $b = 9000\, \text{cm}$ and angle $\alpha = 10^o$.
Answer
$1586.9428\, \text{cm}$
Explanation
To find leg $ a $ use formula:
$$ \tan \left( \alpha \right) = \dfrac{ a }{ b } $$After substituting $\alpha = 10^o$ and $b = 9000\, \text{cm}$ we have:
$$ \tan( 10^o ) = \dfrac{ a }{ 9000 } $$ $$ 0.1763 = \dfrac{ a }{ 9000 } $$$$ a = 0.1763 \cdot 9000 $$$$ a = 1586.9428 $$This page was created using
Right Triangle Calculator