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=(opp)/(hyp)`

Substituting
`\theta=60^(\circ)`,
`opp=x` and
`hyp=8`, we get;

`sin \ 60^(\circ)=(x)/(8)`

Multiplying both sides by 8, we have;

`sin \ 60^(\circ) * 8=x`

`(√(3))/(2) * 8=x`

`4 √(3)=x`

Thus, the value of x is
`4 √(3)`

Hence, Option B is the correct answer.