Answer:
[tex]x = 17.156 \approx 17[/tex]
Step-by-step explanation:
Tangent of an angle is just the length of the side opposite to the angle ([tex]8[/tex]) divided by the length of the side adjacent to the angle ([tex]x[/tex]).
Since our angle is [tex]25^{\circ}[/tex], our equation is:
[tex]\text{tan} \; 25^{\circ} = \frac{8}{x}[/tex]
[tex]x = \frac{8}{\text{tan} \; 25^{\circ}}[/tex]
[tex]x = 17.156 \approx 17[/tex]
