What is the angle between the hour hand and the minute hand of a clock at 3:40?
Answer and explanation
Correct answer: D. 130°
- 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 130°.
Answer
130°.
Why not the others: 230° is the reflex angle (); 100° ignores hour hand movement; 145° adds rather than subtracts the constant term in the final step.
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