Question

Find the value of each variable.

x = ???
y = ???

simplify your answers. type exact answers, using radicals as needed.

Answer 1

Answer:

x = 6  and y = 6$\sqrt{3}$

Step-by-step explanation:

Remember:  In a 30°- 60°- 90° triangle the hypotenuse = short leg · 2

                     and the long leg = short leg ·$\sqrt{3}$ .

In the given right triangle you have the following opposite the right angle is the hypotenuse = 12, the long leg is opposite the 60° angle = y, and the short leg is opposite the 30° angle = x

1. Find the short leg "x"  

    Using hypotenuse = short leg · 2

                         12 = x · 2

                          12/2 = x

                               6 = x  the short leg is 6

2. Find the long leg  

 Using    long leg = short leg ·$\sqrt{3}$

                      y = 6 $\sqrt{3}$

Answer 2

Answer:

x = 6    y = 6√3

Step-by-step explanation:   x = 6 is found sin(30) * 12

y =6√3 = 10.39230485  is found sin(60) * 12  because both x and y = sin x (opp/hyp)