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Math·Geometry and Trigonometry·Right triangles and trigonometry

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Note: Figure not drawn to scale. In the figure shown, the measure of angle $X$ is $52^{\circ }$. The length of $\overline{XY}$ is $24$ units and the length of $\overline{XZ}$ is $17$ units.

What is the area, in square units, of triangle $XYZ$?

A

$204\sin (52^{\circ })$

B

$408\sin (52^{\circ })$

C

$204\cos (52^{\circ })$

D

$408\cos (52^{\circ })$