Find the side labeled x.

Answer:
4√3
Step-by-step explanation:
Hello!
This is a 30° 60° 90° because it has a 90° angle, a 30° angle, and the missing angle is 60° (sum of angles in a triangle is 180°). This triangle has special properties.
In a 30°-60°-90° triangle, the leg opposite 30° is always half the hypotenuse.
This means that the hypotenuse would be 2 times 4, or 8.
The leg opposite to 60° in a right triangle of this sort is the length of a leg multiplied by √3.
So the measure of x is 4√3.
An image is attached for your reference.
Answer:
x=6.93
Step-by-step explanation:
In order to solve for x we need to use tangent.
Set up the following proportion
[tex] \frac{ \tan(30) }{1} = \frac{4}{x} [/tex]
Cross mulitply to get 4=tan(30)x
divide both sides by tan30 so all you have remaining is
6.93=x