Respuesta :

Answer:

The answer to your question is AC = 14

Step-by-step explanation:

To solve this problem, we must use trigonometric functions.

And we must look for a trigonometric function that relates the opposite side and the hypotenuse.

This trigonometric function is the sine

   [tex]sin\alpha = \frac{opposite side}{hypotenuse}[/tex]

solve for Opposite side = AC

  AC = hypotenuse x sin α

- Substitution

  AC = 25 x sin 34

- Simplification

  AC = 25 x 0.56

- Result

  AC = 14