Final answer:
To find the length of side x using the Law of Sines, we can use the given information of the triangle. The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant and we get 15.
Step-by-step explanation:
To find the length of side x using the Law of Sines, we can use the given information of the triangle. The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant. In this case, we can use the sine of angle Q to find the length of side x.
First, we will find the sine of angle Q using the sine function: sin(Q) = opposite/hypotenuse = x/30. Rearranging the equation gives: x = 30*sin(Q).
Using the given values of Q as 30 degrees, we can calculate the sine of 30 degrees and substitute it into the equation to find the length of side x.
x = 30*sin(30)
= 30*0.5
= 15.