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I need Trig help……30 points

I need Trig help……30 points-example-1

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The angle adjacent to the one labeled 27 deg is that labeled angle's complement, so its measure is 90 - 27 = 63 deg.

By the definition of cosine, you have


\cos63^\circ=\frac x{580}\implies x=580\cos63^\circ\approx263.3

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