Let's begin by identifying key information given to us:
We have one known angle, one known side & one unknown side
As such, we will use Trigonometric Ratio (SOHCAHTOA) to solve
Angle = 25 degrees, adjacent = 19, hypotenuse = x
In this case, we will use CAH as shown below:
[tex]\begin{gathered} CAH\Rightarrow cos\theta=\frac{adjacent}{hypotenuse} \\ cos\theta=\frac{adjacent}{hypotenuse} \\ cos25^{\circ}^{}=\frac{19}{x} \\ x\cdot cos25^{\circ}=19 \\ x=\frac{19}{cos25^{\circ}}=\frac{19}{0.906} \\ x=20.97\approx21 \\ x=21 \end{gathered}[/tex]
