Answer: SH = 19.23 ft
Step-by-step explanation:
Considering the given triangle SHX, to determine angle 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 = XH/SinS = XS/SinH
The sum of the angles in a triangle is 180. Therefore,
X = 180 - (66 + 61) = 53°
Therefore
22/Sin 66 = SH/Sin 53
Cross multiplying, it becomes
SHSin 66 = 22Sin 53
0.9135SH = 22 × 0.7986
0.9135SH = 17.5692
SH = 17.5692/0.9135
SH = 19.23 ft
