text: # In triangle ABC, angle C is 90, AC is 15, cosine of angle B is √7 / 4. Find AB
  
  Knowing the cosine of the angle ABC, we determine the sine of this angle.
  
  Sin2ABC = 1 – Cos2ABC = 1 – (√7 / 4) 2 = 1 – 7/16 = 9/16.
  
  SinABC = 3/4.
  
  Through the sine of the angle and the opposite leg, we determine the length of the hypotenuse AB.
  
  SinABS = AC / AB.
  
  AB = AC / SinABC = 15 / (3/4) = 15 * 4/3 = 20 cm.
  
  Answer: The length of the hypotenuse AB is 20 cm.
  
  One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
explanation: The document contains a math problem and its solution. The problem is to find the length of the hypotenuse AB in a right triangle ABC, given the cosine of angle B and the length of side AC. The solution is provided, and the answer is 20 cm.
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: # In triangle ABC, angle C is 90, AC is 15, cosine of angle B is √7 / 4. Find AB
  
  Knowing the cosine of the angle ABC, we determine the sine of this angle.
  
  Sin2ABC = 1 – Cos2ABC = 1 – (√7 / 4) 2 = 1 – 7/16 = 9/16.
  
  SinABC = 3/4.
  
  Through the sine of the angle and the opposite leg, we determine the length of the hypotenuse AB.
  
  SinABS = AC / AB.
  
  AB = AC / SinABC = 15 / (3/4) = 15 * 4/3 = 20 cm.
  
  Answer: The length of the hypotenuse AB is 20 cm.
  
  One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math problem and its solution. The problem is to find the length of the hypotenuse AB in a right triangle ABC, given the cosine of angle B and the length of side AC. The solution is provided, and the answer is 20 cm.
  
  Label: question-and-answer