What’s the value of X

Step-by-step explanation:

Use the Law of Sines for this. Set it up as follows:

 Cross multiply:

6.2sin(x) = 6sin(61) and solve for the term with the unknown in it:

Work on the right side first. Plug that into your calculator to get

sin(x) = .8464061682

Now the problem comes down to "what angle has a sine of .8464061682?" This requires the use of the inverse button on your calculator. Hit 2nd, then sin, and you will see on your screen:

After that open parenthesis enter that big long decimal and hit equals. You should get an angle measure of 57.822 degrees. Not sure what you are rounding to.