Answer:
Step-by-step explanation:
Considering the given triangle SHX, to determine SH, 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
SH/SinX = HX/SinS = SX/SinH
The sum of the angles in a triangle is 180°. Therefore,
X = 180 - (66 + 61) = 53°
Therefore
SH/Sin 53 = 22/Sin 66
Cross multiplying, it becomes
SHSin66 = 22Sin53
0.914SH = 22 × 0.799
0.914SH = 17.578
SH = 17.578/0.914
SH = 19.2
