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# When the sun shines at a 75 angle to the ground, Nadia’s shadow is 18 inches long. To the nearest inch, how tall is Nadia?

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When the sun shines at a 75° angle to the ground, Nadia’s shadow is 18 inches long. To the nearest inch, how tall is Nadia?

Jun 13, 2022

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$$x=\tan \left(75^{\circ \:}\right)\cdot \:18$$

$$\tan \left(75^{\circ \:}\right)=2+\sqrt{3}$$

$$x=18\left(2+\sqrt{3}\right)$$ or $$x=67.18$$

-Vinculum

Jun 13, 2022