Answer: z = 22.2
Explanation:
Considering the given triangle XYZ, to determine side g, we would apply the sine rule. It is expressed as
a/SinA = b/SinB = c/SinC
Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Likening it to the given triangle, the expression becomes
x/SinX = y/SinY = z/SinZ
Therefore
18/Sin 39 = z/Sin 51
Cross multiplying, it becomes
zSin39 = 18Sin51
0.629z = 18 × 0.777
0.629z = 13.986
z = 13.986/0.629
z = 22.2