What is the angle between the hour hand and the minute hand of a clock at 5:00?
Answer and explanation
Correct answer: D. 150°
- Step 1: Apply the angular separation formula between the hour and minute hands: .
- Step 2: Substitute and : .
- Step 3: Taking the internal (minor) angle yields 150°.
Answer
150°.
Why not the others: 210° is the reflex angle (); 120° uses 4:00 (); 165° adds rather than subtracts the constant term in the final step.
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