For any △ ABC, let the lengths of the sides opposite to angles A, B, and C be a, b, and c, respectively.
The Law of Sines relates the sine of each angle to the length of the opposite side.
sin A/a=sin B/b=sin C/c
Let's use this law to find the value of y. Consider the given triangle.
To obtain the value of y, we first need to find the third interior angle using the Triangle Angle Sum Theorem.
180^(∘)- 43^(∘)- 74^(∘)= 63^(∘)
We found that the missing angle measure is 63^(∘).
We know that the length of a side is 5 in. and that the measure of its opposite angle is 43^(∘). We want to find the length of the side that is opposite to the angle whose measure is 63^(∘). We can use the Law of Sines again!
sin 43^(∘)/5=sin 63^(∘)/y
Let's solve the above equation for y using the Cross Product Property.
