Free SAT Practice Question

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ID: SAT-MATH-GT-026
Section: SAT Math - Geometry & Trigonometry (G&T)
Topic: Right triangles and trigonometry
Difficulty level: Hard

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In right trapezoid \(ABCD\), the top side \(AB\) and the bottom side \(DC\) are parallel, with \(AB\) the shorter of the two. The left side \(AD\) is perpendicular to both parallel sides, and \(AB = 3\) while \(AD = 6\). The right side \(BC\) slants from \(B\) down to \(C\), and the interior angle at \(C\), between \(CD\) and \(CB\), measures \(60^\circ\). What is the sum of the lengths of \(BC\) and \(DC\), to the nearest tenth?

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