Answer: x = 6.72
Step-by-step explanation:
The 2 right angle triangles in the diagram are ∆ XYZ and ∆ XZW.
Looking at ∆ XYZ,
XZ represents the adjacent side.
XY represents the Hypotenuse.
we would determine m∠X by applying
the cosine trigonometric ratio.
Cos θ = adjacent side/hypotenuse. Therefore,
Cos ∠X = 24/25 = 0.96
∠X = Cos^-1(0.96) = 16.26°
Looking at ∆ XZW,
XZ represents the Hypotenuse.
ZW represents the opposite side.
we would determine x by applying
the Sine trigonometric ratio.
Sin θ = opposite side/hypotenuse. Therefore,
Sin 16.26 = x/24
x = 24Sin 16.26 = 24 × 0.28
x = 6.72
