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

(C) 3

Explanation:

From the given information, it is given that ∠ACB=60°, ∠BAC=30° and AC=
`2√(3)`.

Now, using the trigonometry, we have

`(AB)/(AC)=sin60^(\circ)`

Substituting the given values, we have

`(AB)/(2√(3))=sin60^(\circ)`

`(AB)/(2√(3))={(√(3))/(2)}`

`AB=3`

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

Hence, option C is correct.