Question

Find the value of X. Round to the nearest 10th. diagram not to scale. (Image attached)
Will give BRAINLIEST to the first to answer correctly and please show your work :)

Answer 1

Answer: $x=10.2$

Step-by-step explanation:

The triangle shown in the image attached is a right triangle.

Therefore, you can calculate the value of x as you can see below:

$cos\alpha=\frac{adjacent}{hypotenuse}$

In this case, you have that:

adjacent=x

hypotenuse=11

$\alpha=22\°$

Therefore, when you substitute values and solve for x, you obtain the following result:

$cos(22\°)=\frac{x}{11}\\\\x=11*cos(22\°)\\x=10.2$

Answer 2

Answer:

The value of x = 10.2

Step-by-step explanation:

From the figure we can see a right angled triangle. One side and one angle are given.We have to find one side of triangle.

Points to remember

Cos θ = Adjacent side/Hypotenuse

To find the value of x

Here  θ = 22°, Hypotenuse = 11, Adjacent side =?

Cos 22 = Adjacent side/Hypotenuse = x/11

x = 11 * Cos 22 = 11 * 0.9271 = 10.2 units