Question

Find x and y and give a thorough explanation please.

Answer 1

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

1. You can use the Law of Sines to calculate the missing angle. You have that:

`(a)/(SinA)=(b)/(SinB)`

Where:

`a=22\\ b=12\\ A=75degrees\\ B=x`

2. Substitute values and solve for
`x`, as following:

`(22)/(Sin(75))= (12)/(Sin(x))`

`Sin(x)=((12)(Sin(75)))/(22) \\ x=arcsin((12)(Sin(75)))/(22)\\ x=31.8degreees`

Therefore, the answer is:
`x=31.8degrees`