What is that answer to this question?

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]