Question

How do i find the length of side labeled y?

Answer 1

Answer:

y = 3

Step-by-step explanation:

The side labeled 'y' is the 'adjacent side' of the 30° angle.  The hypotenuse of this right triangle is 2√3.

The trig function relating this 30° angle, the 2√3 hypotenuse and the adj. side labeled 'y' is the cosine:

                 adjacent side          y

cos 30° = ---------------------- = --------- , and the value of cos 30° is (√3)/2.

                        2√3                2√3

Solving for y, we get 2√3 (√3)/2, or y = 2(3)/2, or y = 3