Using the law of sines, the value of x in the image is approximately: 8.5.
What is the Law of Sines?
The equation for the law of sines is: sin A/a = sin B/b = sin C/c.
We are given:
A = 28
C = 83
a = x
c = 18
Substitute
sin 28/x = sin 83/18
x = (sin 28 × 18)/sin 83
x ≈ 8.5
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