Question

ANSWER ASAP!!!!! what is the value of x?

Answer 1

Given:

The given triangle is a right triangle.

One of the angle of the triangle is 60°

The length of the hypotenuse is 8.

The length of the side opposite to the angle 60° is x.

We need to determine the value of x.

Value of x:

The value of x can be determined using the trigonometric ratio.

Thus, we have;

$sin \ \theta=\frac{opp}{hyp}$

Substituting $\theta=60^{\circ}$, $opp=x$ and $hyp=8$, we get;

$sin \ 60^{\circ}=\frac{x}{8}$

Multiplying both sides by 8, we have;

$sin \ 60^{\circ} \times 8=x$

      $\frac{\sqrt{3}}{2} \times 8=x$

         $4 \sqrt{3}=x$

Thus, the value of x is $4 \sqrt{3}$

Hence, Option B is the correct answer.