Question

#2 math help needed

Answer 1

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