Question

Find the value of x, rounded to the nearest tenth.

Answer 1

As the graph you are showing in the pic
the answer to your question would be:

x= 35

Answer 2

The answer is C. 6.2

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`

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)=(x)/(18) \\x=sin(20)*18\\x=0.342*18\\x=6.156`

The rounded result to the nearest tenth is 6.2, so the answer is C.