Find the value of x. if your answer is not an integer, leave it in simplest radical form. the diagram is not drawn to scale. me. show me how to work this problem out.

1. the triangle shown in the diagram  is a right triangle (it has an angle of 90°), so you can calculate the value of "x" "as below:

  tan(α)=opposite leg/adjacent leg

  the angle "α" is 60°, so the opposite leg is "x" and the adjacent leg is 5. 

  2. when you substitute these values, you have:

  tan(α)=opposite leg/adjacent leg
  tan(60°)=x/5
  x=(5)(tan(60°))
  x=5√3

  then, the answer is:   the value of "x" is 5√3