Answer:
[tex]opposite \approx 147[/tex]
Step-by-step explanation:
To solve this problem one can use the trigonometric ratios, these ratios are the following,
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
In this problem, one is given the adjacent side, and is asked to find the opposite side, thus use the function ([tex]tan[/tex]). Substitute in the given value and solve,
[tex]tan(52)=\frac{opposite}{115}[/tex]
Inverse operations,
[tex]115(tan(52))=opposite[/tex]
Solve,
[tex]147 \approx opposite[/tex]
