Question

What is the value of x in the triangle?

Answer 1

A. 4

Explanation:

Use the law of sines to solve:

`(sin 90)/(8)=(sin30)/(x) \\x=8sin30\\x=4`

Alternate method: use properties of 30-60-90 triangle:

If the hypotenuse of a 30-60-90 triangle has a length of x, then the shortest leg has a measure of
`(x)/(2)`.

Substitute x and you will get 4 as your answer.