Jamal draws triangle XYZ If m angle cap x is equal to 46 degrees , XZ is equal to 10 , and YZ is equal to 8 , what is the approximate length of XY ?

Let XY = x. The 46° angle is between XY and XZ, and the opposite side is YZ = 8. Using the Law of Cosines, 8² = x² + 10² − 2(10)(x)cos(46°), which gives approximate solutions x = 3.4 or x = 10.4. Both lengths are possible, so choice A, “3.4 or 10.4,” is correct.

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