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Solve for indicated side. Round to the nearest hundredth.

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z ≈ 145.62

Step-by-step explanation:

using the sine ratio in the right triangle

sin18° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{45}{z}[/tex] ( multiply both sides by z )

z × sin18° = 45 ( divide both sides by sin18° )

z = [tex]\frac{45}{sin18}[/tex] ≈ 145.62 ( to the nearest hundredth )
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