Question

In the triarngle below, what is the length of the side opposite the 60 angle?

Answer 1

Answer:

A. 3

Step-by-step explanation:

Let the length of the opposite side be x.

Hypotenuse = 2√3

Using the trigonometric ratios formula, we have:

$sin(60) = \frac{x}{2\sqrt{3}}$

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

Multiply both sides by 2√3

$\frac{\sqrt{3}}{2} \times 2\sqrt{3} = x$

$\frac{\sqrt{3} \times 2\sqrt{3}}{2} = x$

$\sqrt{3} \times \sqrt{3} = x$

3 = x

x = 3