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2025 AMC 12B Question 16

AMC12 · 2025 AMC 12B

Question 16

An analog clock starts at midnight and runs for $2025$ minutes before stopping. What is the tangent of the acute angle between the hour hand and the minute hand when the clock stops?
  1. $0$
  2. $\sqrt{2} - 1$
  3. $2 - \sqrt{2}$
  4. $\dfrac{\sqrt{2}}{2}$
  5. $3 - \sqrt{2}$