What is the cosine of angle L A. 2 B. 1/2 C. 3 square rooted D. 3 square rooted/2

Question

asked Dec 25, 2020 17.7k views

1 Answer

RGuggisberg · Answer 1 · 2020-12-31T02:50:04+0000

Answer: option D.

Explanation:

Remember the cosine identity:

$cos\alpha=(adjacent)/(hypotenuse)$

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:

$adjacent=√(3)\\hypotenuse=2$

Now you can substitute values into
$cos\alpha=(adjacent)/(hypotenuse)$

Therefore you get:

cos(L)=(√(3))/(2)

This matches with the option D.