Look at the triangle: a right angle triangle is shown with hypotenuse equal to 13 centimeters. an acute angle of the triangle is labeled as x degrees. the side adjacent to the acute angle has length 12 centimeters and the side opposite to the acute angle has length 5 centimeters. what is the value of sin x°? 12 ÷ 13 13 ÷ 5 13 ÷ 12 5 ÷ 13

For this case we have:

By definition, an acute angle is less than 90º.

In addition, having a rectangular triangle, the sine of an angle is given by the leg opposite that angle divided by the hypotenuse of the triangle. So:

Observing the triangle of the attached image we have:

So,

Option D

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