Answer:
48°
Step-by-step explanation:
We can solve this using our knowledge on tangents of an angle. Remember, tangents are the opposite leg divided by the leg adjacent to that angle.
This means the tangent of x° = [tex]\frac{10}{9}[/tex]. Now that we know the tangent ratio, we can find the angle with inverse trigonometric ratios. These kinds of ratios give us the opposite of the tangent - which would lead to the angle measure we're looking for. The equation would look like this:
[tex]x = arctan (\frac{10}{9})[/tex]
Using a calculator, the answer would be:
[tex]x = 48.0128[/tex]
Rounding this to the nearest degree would give us 48° as our answer! I hope this was clear enough.
