Applying trigonometry ratios, the value of x is: -0.38
Recall:
Trigonometry ratios are SOH CAH TOA, and are used in solving right triangles.
In the right triangle ABC:
sin B = opp/hyp = b/a (SOH)
cos C = adj/hyp = b/a (CAH)
Therefore:
sin B = cos C
3x + 0.47 = 4x + 0.85
3x - 4x = -0.47 + 0.85
-x = 0.38
x = -0.38
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