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
