Answer:
58.896º
Step-by-step explanation:
In this problem, we are given the angle 23º, as well as it's opposite and adjacent sides as 25 and x respectively.
According to SOHCAHTOA, we should use tan to solve for x, because we already know the opposite and adjacent sides. Let's set up the equation:
[tex]\tan=\frac{opposite}{adjacent} \\\\\tan(23\textdegree)=\frac{25}{x} \\\\x=\frac{25}{\tan(23\textdegree)}\\\\x \approx 58.896\textdegree[/tex]
I hope this helps! Let me know if you have any questions :)
