Right triangle XYZ has a right angle at vertex cap y and a hypotenuse that measures 24 cm. Angle ZXY measures 70 degrees What is the length of line segment XY ? Round to the nearest tenth.

Since the right angle is at Y, XZ is the hypotenuse, measuring 24 cm. For the 70° angle at X, XY is the adjacent side, so cos(70°) = XY/24. Thus XY = 24 cos(70°) ≈ 8.2 cm, which is choice B.

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