Question

Find the value of X. Round to the nearest 10th. diagram not to scale. (Image attached)

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