Answer: option D.
Step-by-step explanation:
Remember the cosine identity:
[tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex]
Given the right triangle shown in the image, you can identify that the adjacent side and the hypotenuse for the angle L of this triangle are:
[tex]adjacent=\sqrt{3}\\hypotenuse=2[/tex]
Now you can substitute values into [tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex]
Therefore you get:
[tex]cos(L)=\frac{\sqrt{3}}{2}[/tex]
This matches with the option D.
