Question

And the triangle below what is the length of the side opposite of 60° angle

Answer 1

In this case we will have to use trig functions. 
sin or cos or tan
soh cah toa
so sin(60) = side length÷2√3
0.866 = side length ÷ 2√3
side length = 0.866*2√3 = 3

Answer 2

Answer:

(C) 3

Step-by-step explanation:

From the given information, it is given that ∠ACB=60°, ∠BAC=30° and AC=$2\sqrt{3}$.

Now, using the trigonometry, we have

$\frac{AB}{AC}=sin60^{\circ}$

Substituting the given values, we have

$\frac{AB}{2\sqrt{3}}=sin60^{\circ}$

$\frac{AB}{2\sqrt{3}}={\frac{\sqrt{3}}{2}}$

$AB=3$

Therefore, the length of the side opposite to the angle 60° is 3.

Hence, option C is correct.