Answer:
The answer is C. 6.2
Step-by-step explanation:
In order to determine the "x" value, we have to know about right triangles.
A right triangle is triangle with an angle of 90 degrees (pi/2 radians). The sides a, b, and c of such a triangle satisfy the Pythagorean theorem
.
![a^2+b^2=c^2](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2)
where the largest side is conventionally denoted c and is called the hypotenuse. The other two sides of lengths a and b are called legs, or sometimes catheti.
Also, there are some relations called "trigonometric relations". These formulas relation the angles and sides of a right triangle.
I have attached an image that shows the trigonometric relations in a right triangle.
According to the image,
Angle=20 degrees
Opposite side= X
Hypotenuse= 18
We use the "sine" trigonometric relation:
![sin(20)=\frac{x}{18} \\x=sin(20)*18\\x=0.342*18\\x=6.156](https://tex.z-dn.net/?f=sin%2820%29%3D%5Cfrac%7Bx%7D%7B18%7D%20%5C%5Cx%3Dsin%2820%29%2A18%5C%5Cx%3D0.342%2A18%5C%5Cx%3D6.156)
The rounded result to the nearest tenth is 6.2, so the answer is C.