Respuesta :

Answer:

5/13

Step-by-step explanation:

Cosine ratio for an angle is defined as the ratio of Adjacent side to Hypotenuse.

We have to find the cosine ratio for angle F. The side adjacent to angle F is side GF and the hypotenuse of the triangle is side FH. The side opposite to the right angle is always the hypotenuse.

So, we can write:

[tex]\textrm{Cosine Ratio}=\frac{Adjacent}{Hypotenuse}\\\\ \textrm{Cosine Ratio of F}=\frac{FG}{FH} \\\\ \textrm{Cosine Ratio of F}=\frac{5}{13}[/tex]

Therefore, the cosine ratio of angle F is 5/13

Answer: [tex]cos(F)=\frac{5}{13}[/tex]

Step-by-step explanation:

The trigonometric identity needed to answer this question is:

[tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex]

Therefore:

Indentify the angle, the opposite side and the adjacent side of the right triangle from the figure:

[tex]adjacent=5\\hypotenuse=13\\\alpha=F[/tex]

Substitute them into[tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex], then we get:

[tex]cos(F)=\frac{5}{13}[/tex]