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:

$\frac{a}{SinA}=\frac{b}{SinB}$

Where:

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

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

$\frac{22}{Sin(75)}= \frac{12}{Sin(x)}$

$Sin(x)=\frac{(12)(Sin(75))}{22} \\ x=arcsin\frac{(12)(Sin(75))}{22}\\ x=31.8degreees$

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