What is the angle between the minute hand and hour hand when the clock shows 4:25 hours?
Answer
The correct answer is C: 17·5°. Angle of hour hand from 12 = 30°×H + (30/60)×M = 30×4 + 0.5×25 = 120 + 12.5 = 132.5°. Angle of minute hand from 12 = 6°×M = 6×25 = 150°.
A.12·5°
B.15°
C.17·5°✓ Correct
D.20°
Explanation
Angle of hour hand from 12 = 30°×H + (30/60)×M = 30×4 + 0.5×25 = 120 + 12.5 = 132.5°. Angle of minute hand from 12 = 6°×M = 6×25 = 150°. Difference = |150 − 132.5| = 17.5°. Hence the angle between the hour and minute hands at 4:25 is 17.5°.
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