Q:

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 :)

Accepted Solution

A:
Answer: [tex]x=10.2[/tex]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: [tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex] In this case, you have that: adjacent=x hypotenuse=11 [tex]\alpha=22\°[/tex] Therefore, when you substitute values and solve for x, you obtain the following result: [tex]cos(22\°)=\frac{x}{11}\\\\x=11*cos(22\°)\\x=10.2[/tex]