Find the value of the variable(s). if your answer is not an integer, leave it in simplest radical form. a. 2 b. 1/2 c. 18√3 d. 9√3

To solve this problem you must apply the proccedure shown below:

 1. Let's divide the triangle in two right triangles. Now, you must find the height and the base of the triangle on the left, as below:

 Sin(60°)=h/9
 h=(9)(Sin(60°)
 h=(9√3)/2
 h=7.79

 Cos(60°)=b/9
 b=9/2
 b=4.5

 3. Now you can calculate the value of x, which is the hypotenuse of the triangle on the right, by applying the Pythagorean Theorem. You have that its base is:

 Base=18-4.5=27/2=13.5

 x=√(13.5)^2+(7.79)^2
 x=15.58
 x=9√3

 The answer is:  D. 9√3