Question

What is the value of x in the triangle?

Answer 1

Answer:

120°

Answer: The value of x in a triangle is 120°

Step-by-step explanation:

Answer 2

Answer:

A. 4

Step-by-step explanation:

Use the law of sines to solve:

$\frac{sin 90}{8}=\frac{sin30}{x} \\x=8sin30\\x=4$

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 $\frac{x}{2}$.

Substitute x and you will get 4 as your answer.