Find the Tangent Given the Point (55/73,48/73)

To find the ${\displaystyle \tan \left(\theta \right)}$ between the x-axis and the line between the points ${\displaystyle (0,0)}$ and ${\displaystyle (\frac{55}{73},\frac{48}{73})}$, draw the triangle between the three points ${\displaystyle (0,0)}$, ${\displaystyle (\frac{55}{73},0)}$, and ${\displaystyle (\frac{55}{73},\frac{48}{73})}$.

Opposite : ${\displaystyle \frac{48}{73}}$

Adjacent : ${\displaystyle \frac{55}{73}}$

${\displaystyle \tan \left(\theta \right)=\frac{\text{Opposite}}{\text{Adjacent}}}$ therefore ${\displaystyle \tan \left(\theta \right)=\frac{\frac{48}{73}}{\frac{55}{73}}}$.