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Sagot :

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]