We know that the length of a side is 5 and that the measure of its opposite angle is 119^(∘). We also know that the measure of the angle that is opposite to the side we want to find is 22^(∘). With this information and using the Law of Sines, we can write an equation in terms of x.
sin 119^(∘)/5=sin 22^(∘)/x
Let's solve our equation!
In order to obtain the value of y, we will first have to find the third interior angle using the Triangle Angle Sum Theorem.
180^(∘)- 119^(∘)- 22^(∘)= 39^(∘)
Consider the triangle with the new information.
We know that the length of a side is 5 and that the measure of its opposite angle is 119^(∘). We want to find the length of the side that is opposite to the angle whose measure is 39^(∘). We can use the Law of Sines again!
sin 119^(∘)/5=sin 39^(∘)/y
Let's solve the above equation for y using the Cross Product Property.
