Answer:
[tex]x=42[/tex]
Step-by-step explanation:
Since we use the sides opposite and adjacent to the given angle, we will use the tangent ratio:
[tex]tangentX=\frac{opposite}{adjacent}[/tex]
Insert the given values:
[tex]tanX=\frac{9}{10}[/tex]
Since we need to find the angle, use the inverse:
[tex]x=tan^{-1}(\frac{9}{10})[/tex]
Insert the equation into a calculator:
[tex]x=41.98721249[/tex]
Round to the nearest tenth:
[tex]x=42.0[/tex]
:Done
