text: Geometry: Common Core (15th Edition)
  
  $x = 34.2$ ft.
  Since we have the measure of one angle and the measure of the hypotenuse, we can use the sine ratio to find $x$, which is the side opposite to the angle. The sine ratio is given as follows: sin $A = \frac{opposite}{hypotenuse}$ Let's plug in what we know: sin $20^{\circ} = \frac{x}{100}$ Multiply each side by $100$: sin $20^{\circ}(100) = x$ Multiply to solve: $x = 34.2$ ft.
explanation: The text extract provides a solution to a geometry problem involving the sine ratio to find the length of a side in a right triangle. It includes the given angle measure, the hypotenuse, and the calculation to find the side opposite the angle. The extract contains the answer to the problem but does not explicitly state the question.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: Geometry: Common Core (15th Edition)
  
  $x = 34.2$ ft.
  Since we have the measure of one angle and the measure of the hypotenuse, we can use the sine ratio to find $x$, which is the side opposite to the angle. The sine ratio is given as follows: sin $A = \frac{opposite}{hypotenuse}$ Let's plug in what we know: sin $20^{\circ} = \frac{x}{100}$ Multiply each side by $100$: sin $20^{\circ}(100) = x$ Multiply to solve: $x = 34.2$ ft.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The text extract provides a solution to a geometry problem involving the sine ratio to find the length of a side in a right triangle. It includes the given angle measure, the hypotenuse, and the calculation to find the side opposite the angle. The extract contains the answer to the problem but does not explicitly state the question.
  
  Label: question-and-answer