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Geometry and Trigonometry / Right triangles and trigonometry Difficulty: Hard

In the triangle shown, what is the value of $\sin x °$ ?

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Explanation

The correct answer is $StartFraction 16 Over 23 EndFraction$ . In a right triangle, the sine of an acute angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. In the triangle shown, the length of the side opposite the angle with measure $x °$ is $16$ units and the length of the hypotenuse is $23$ units. Therefore, the value of $\sin x °$ is $StartFraction 16 Over 23 EndFraction$ . Note that 16/23, .6956, .6957, 0.695, and 0.696 are examples of ways to enter a correct answer.