Question
Find the angle between the two hands of a clock at 30 minutes past 4 O'clock.(a) $40^{\circ}$(b) $30^{\circ}$(c) $45^{\circ}$(d) None of these
Step 1
The hour hand moves 30 degrees for each hour (360 degrees / 12 hours = 30 degrees per hour). At 4:00, the hour hand is at 4 * 30 = 120 degrees. By 4:30, the hour hand has moved an additional half of 30 degrees (since it is halfway to 5:00), which is 15 degrees. Show more…
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Key Concepts
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