Answer:
x = 30º
Step-by-step explanation:
This answer requires trigonometry, specifically, the cosine function. This is because we are given the length of the side adjacent to x and the length of the hypotenuse.
If you recall:
[tex]cos(x )= \frac{adjacent}{hypotenuse}[/tex]
Therefore,
[tex]cos(x) = \frac{13}{35}[/tex]
Now, we must use the inverse cosine function on a calculator to figure out the value of x.
[tex]cos^{-1}(\frac{13}{15}) = 29.93[/tex]
Now, we must round it to the nearest whole number, so x = 30º.
