The answer is B. Use the trig identity (sin x)^2+(cos x)^2=1. Since cos x=0.3090, sinx=+-\sqrt(1^2-0.3090^2)=+-0.9511. Since 0<x<90, sin x must be positive, so sin x=0.9511. tan x=sin x/cos x=0.9511/0.3090=3.0780.

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