Find the Tangent Given the Point (65/97,72/97)

To find the ${\displaystyle \tan \left(\theta \right)}$ between the x-axis and the line between the points ${\displaystyle (0,0)}$ and ${\displaystyle (\frac{65}{97},\frac{72}{97})}$, draw the triangle between the three points ${\displaystyle (0,0)}$, ${\displaystyle (\frac{65}{97},0)}$, and ${\displaystyle (\frac{65}{97},\frac{72}{97})}$.

Opposite : ${\displaystyle \frac{72}{97}}$

Adjacent : ${\displaystyle \frac{65}{97}}$

${\displaystyle \tan \left(\theta \right)=\frac{\text{Opposite}}{\text{Adjacent}}}$ therefore ${\displaystyle \tan \left(\theta \right)=\frac{\frac{72}{97}}{\frac{65}{97}}}$.