Question

What’s the value of X

Answer 1

Explanation:

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

`(sin(x))/(6)=(sin(61))/(6.2)` Cross multiply:

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

`sin(x)=(6sin(61))/(6.2)`

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:

`sin^(-1)(`

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.