Question

find the measure of the angle between hour-hand and the minute hand of a clock at twenty minute past two
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Answer 1

Explanation:

The distance between each notch on the clock is 6 degrees because there are 360 degrees on the clock, and there are 60 notches total. The minute hand is at notch #20, and so it is 120 degrees from the top. The hour hand is a little past notch #40 because the time is a little past hour 8. Thus, the hour hand is a little past 240 degrees from the top, going clockwise (40×6 degrees).

In each hour, the hour hand goes 5 notches, or 30 degrees. Because it is now 20 minutes past the hour, a third of an hour has passed. One third of 30 degrees is 10 degrees. Thus, the hour hand is 10 degrees past notch #40. The hour hand is 250 degrees from the top, going clockwise. The angle between the two hands is thus 130 degrees.

Answer 2

Answer:

Angle = 144°

Step-by-step explanation:

In clock any hand rotated 1 time = 360°

In the clock 1 rotation dividend into 60 because of 1 minute = 60secs and 1 hour= 60 minutes

1 divition's angle = 360/ 60 = 6°

24 minute angle = 6× 24 = 144°