Question

HELP Geometry Find X

Answer 1

Answer: 8

Step-by-step explanation: We are dealing with a 30 60 90 triangle which has special side lengths that I will attach.

The short leg, in this case 4, is half of the hypotenuse in 30 60 90 triangles, therefore x = 8

Answer 2

Answer: Last option.

Explanation:

You need to remember the following identity:

`sin\alpha=(opposite)/(hypotenuse)`

In this case, we can observe that:

`\alpha=30\°\\opposite=4\\hypotenuse=x`

Now you must substitute these values into
`sin\alpha=(opposite)/(hypotenuse)` and solve for the hypotenuse. Then:

`sin(30\°)=(4)/(x)\\\\(x)(sin(30\°))=4\\\\x=(4)/(sin(30\°))\\\\x=8`