Question

What is the cosine of angle F A. 4/5B. 3/4C. 5/4D. 3/5​

Answer 1

Answer: option D

Step-by-step explanation:

Remember the cosine identity:

$cos\alpha=\frac{adjacent}{hypotenuse}$

Given the right triangle DFE shown in the image, you can identify that the adjacent side and the hypotenuse for the angle F of this triangle are:

$adjacent=15\\hypotenuse=25$

Now you can substitute values into  $cos\alpha=\frac{adjacent}{hypotenuse}$ and then reduce the fraction.

THerefore you get:$cos(F)=\frac{15}{25}\\\\cos(F)=\frac{3}{5}$

Answer 2

Answer:

D

Step-by-step explanation:

Cosine is adjacent over hypotenuse.

adjacent to angle F is  15

over the hypotenuse being 25

reduced is 3/5