When the clock is 5:06, what is the angle between the hour and minute hands?

It takes 12 hours for the hour hand to go around (360 degrees), that is, the speed is 360 degrees 12 hours = 360 degrees (12*60) minutes = degrees minutes, and it takes 1 hour for the minute hand to go around (360 degrees), that is, the speed is 360 degrees 1 hour = 360 degrees 60 minutes = 6 degrees minutes, the clock face (360 degrees) is divided into 12 equal parts, so each part (between two adjacent numbers) is 30 degrees, so after x minutes, the angle at which the hour hand travels is degrees, and the angle at which the minute hand travels is 6x degrees, From 5 o'clock to 5:06 a.m., the hour and minute hands have traveled for 6 minutes, the hour hand has traveled 6* degrees, and the minute hand has traveled 6*6=36 degrees, 36-3=33, so the angle between the hour hand and the minute hand at 5:06 is 33 degrees.

If it reaches 5 o'clock, the angle between the hour and minute hands is 360*5 12=150 degrees.

The speed of the hour hand is 6 degrees, and the speed of the minute hand is 6 degrees.

From 5 o'clock to 5:06 o'clock, the two movements at the same time, it can be seen that the component needle is chasing the hour hand at a speed of 6 degrees and minutes for 6 minutes.

Then, the velocity of the minute hand relative to the hour hand is (degrees minute, then the hour hand is stationary, then the minute hand has traveled 6*(degrees.

Because the hour hand is stationary, the angle sought is 150-33=117 degrees.

Relative to 12, the hour hand 5 * 30 + 3 = 153 degrees, the minute hand 360 10 = 36 degrees.

Therefore, at 5:06 a.m., the angle between the hour and minute hands is 153-36 = 117 degrees.

117 degrees. 4*30 Angle of the hour and minute hands when they are not moving.

360 30)*(12 60) The number of degrees that the minute hand travels more.

360 30)*(6 60) The number of degrees that the hour hand travels more.

4 * 30 degrees - (360 12) * (1 5) + (360 30) * (6 60) = 120-6 + 3 = 117

I have a formula

30m-11 2n in absolute terms.

m is the hour. n is a minute.

In the end, it was 117 degrees.

The hour hand is 360*(6 60*1 12)+360*5 12=153° at 12 o'clock

The minute hand is 360*6 60=36° at 12 o'clock

Travel issues. At 5 o'clock, the angle is 360° 5 12 = 150° 5 minutes: hour hand 360° 5 60 1 12 = minute hand: 360° 5 60 = 30°

So the angle at this time: 150-30°+, 1, the angle is 120°Can you talk about the process Thank you 12 o'clock to 3 o'clock there are 3 hours, and then the angle between 12 o'clock and 3 o'clock is 90 °, 90 ° is divided into 3 hours, so the auspicious pin is 30 degrees between an hour and another hour, the minute hand and the hour hand are separated by 4 spaces, each empty degree is 30 degrees, 4 30 = 120 °.

There are no diagrams, and they are not very detailed. It should be understandable that there are 3 hours from 12 o'clock to 3 o'clock, and then the angle between 12 o'clock and 3 o'clock is 90 degrees, and 90 degrees is divided equally by the 3 hours of stupid banquet leakage, so the degree between one hour and another hour. 0,

Itinerary problem pants waiter. At 5 o'clock, the angle is 360° 5 Hu 12 = 150° 5 minutes: hour hand 360° 5 60 1 12 = minute hand: talk block 360° 5 60 = 30°

So the angle at this time: 150-30°+

The minute hand is 60 minutes 360 degrees, and when the minute hand is 8 minutes 48 degrees, the sharp blue needle is 60 minutes 30 degrees and 8 minutes 4 degrees and swims 12 to 5,150 degrees, so the solution is 150-48 + 4 degrees for silver milling, so it is 106

The minute hand walks 6 degrees per minute, the hour hand walks every minute, and the angle between the minute hand and the hour hand is 60 degrees when it is set at 5 o'clock x minutes, according to the title: ( Solution: disturbing the first x = 16 and 4 11 minutes;

or:( Solution: x=38 and 2 11 points.

That is, at 5:16 and 4 11 or 38 and 2 11, the angle between the minute hand of the clock and the hour hand of the socks is 60 degrees.

Analysis: The minute hand walks per minute: 360 60 = 6 degrees, the clock travels 360 12 = 30 degrees per hour, and the minute walks 30 60 = degrees is set at 5 o'clock x minute, the angle between the minute hand and the hour hand is 60 degrees At this time, the angle between the minute hand and the magic wheel 0 minutes is 6x degrees, and the angle between the hour hand and 0 is 5 * 30+ degrees, and there are two cases of the angle between the minute and the hour hand: minutes.

Seven fifteen minutes.

Seven and fifteen withered minutes = 29 4 hours.

The hour hand turns 29 4 30°=

The minutes are not like a mountain needle turned 15 6 = 90 °

That is, the obtuse angle of the minute and hour hands is.

180+30×1/12=

Between 7 o'clock and 5 o'clock is 180 degrees, and because after 5 minutes, that is, the hour hand has passed 1 12, and the hour hand has traveled 30 degrees in an hour, so it is 30 1 12

The number of degrees that the minute hand of the clock rotates every 5 minutes = 360 degrees 12 = 30 degrees.

The number of degrees in which the clock hand rotates every 5 minutes = 30 degrees 12 = degrees.

At 1:55 on the clock, the degree of rotation of the hour hand is: 360 degrees - 30 degrees * 11 = 30 degrees.

The degree of rotation of the minute hand is: 30 degrees + 11 * degrees = degrees.

Therefore, the angle between the hour hand and the minute hand is 30 degrees + degrees = degrees.