On a clock, what angle does the minute hand make with hour hand at 12:28? Assume that the hour hand stays in the "12" position.
A) 84°
B) 280 °
C) 168 °
D) 28 °
E) 336 °

Question

On a clock, what angle does the minute hand make with hour hand at 12:28? Assume that the hour hand stays in the "12" position. ​
A) 84°
B) 280 °
C) 168 °
D) 28 °
E) 336 °

Quizplus · Accepted Answer

At 12:28, the hour hand is still at the 12 o'clock position, and the minute hand is at the 28th minute mark, which is 14 minutes away from the 30-minute mark.

The minute hand moves 360 degrees in 60 minutes, so it moves 6 degrees in one minute. Therefore, the minute hand is at:

28 minutes * 6 degrees/minute = 168 degrees

The hour hand moves 30 degrees in 60 minutes, so it moves 0.5 degrees in one minute. Therefore, even though it's still pointing at the 12, it has moved:

14 minutes * 0.5 degrees/minute = 7 degrees

The angle between the hour hand and the minute hand is the absolute difference between their positions:

|168 - 7| = 161

Therefore, the angle between the minute hand and hour hand at 12:28 is 161 degrees, which is closest to choice C) 168 degrees.

On a Clock, What Angle Does the Minute Hand Make