What is and how many hours on the clock face when the hour hand is at a 60 degree angle to the minut

3 o'clock sharp. The hour hand is at 12 and the minute hand is at 3

The angle between the minute and hour hands is 90°

The minute hand goes 60 divisions in one circle, and the hour hand travels 1 and 12 revolutions in 5 divisions.

The minute hand is 55 stops faster than the hour hand.

Each tile = 360 60 = 6°

For the first time, the hour hand is at 60° to the minute hand

The minute hand needs to go 90-60=30°

30 6 = 5 grids.

5 55 = minutes and seconds.

The second hour hand is at 60° to the minute hand

The minute hand needs to go 90+60=150°

150 6 = 25 grids.

25 55 = minutes and seconds.

The hour at which the hour hand is at a 60-degree angle to the minute hand is 3:05 minutes and 3:27 minutes.

At 3:05 and 3:27, the angle is 60 degrees.

The answer is supplemented. First of all, there are two cases when the angle is 60 degrees, one is that the minute hand is in front of the hour hand and the other is that the minute hand is behind the hour hand, starting from the angle between the two points is 60 degrees, and the hour hand turns around at four o'clock, and the angle between the three points is 60 degrees, then the minute hand is in the future, 90 + (360 12) * (x 60) - 360 * (x 60) = 60, the solution is x = 60 11 =, when the minute hand is in front, 360 * (x 60) -90 - (360 12) * (x 60) = 60, the solution is x =, therefore, The answer is at 23:05 and at 3:27 the angle is 60 degrees.

The angle formed by the hour and minute hands is: acute angle.

Analysis: The minute hand goes 6 degrees per minute, and the hour hand travels every minute, so the minute hand goes 180 degrees in half an hour, and the hour hand goes 15 degrees, so the angle between the minute hand and 12 o'clock at half past six is 180 degrees, and the hour hand is 180 + 15 = 195 degrees, so the angle is 15 degrees.

Angles less than 90 degrees are acute angles, so angles of 15 degrees are acute angles.

Yes, an acute triangle, because the 30-minute hour hand and the minute hand are very small angles, so it is an acute angle.

At 6:30 a.m., what is the angle of the hour and minute hands?

Answer: At 6:30 a.m. on the clock face, the hour and minute hands form an angle (15° sharp).

Obtuse angle Because at 6:30, the hour hand is not exactly at 6 o'clock.

This is an acute angle because 30 minutes is shorter.

At 3:30, the hour and minute hands are at an acute angle of 75 degrees.

At 3:30, the minute hand is on 6 and the hour hand is between 3 and 4; When the hour hand is on 3, the angle is 90 degrees, and the hour hand is between 3 and 4, so it is not a right angle, but an acute angle.

Definition in Geometry: When the adjacent angles of a straight line and another horizontal line are equal to each other, each of these angles is called a right angle, and this line is said to be perpendicular to the other. Those with smaller angles than right angles are called acute angles, and those that are larger than right angles and smaller than flat angles are called obtuse angles.

From the clock face, it can be seen that the hour hand rotates for 12 hours, a total of 360 degrees, the clock surface is divided into 12 large grids, each large grid represents 1 hour, the corresponding angle is 30 °, the angle of the clock hand walking for 1 hour (60 minutes) is 30 °, and the angle of the hour hand turning for 1 minute = ; If the minute hand travels for 1 hour and turns at an angle of 30°, then the angle at which the minute hand travels for 1 minute = 6°.

Clock Issues:

Clock standards in travel issues; Judgment and calculation of the tracking and encountering problems of the hour and minute hands of the clock; Periodic issues with clocks; A category of travel problems.

The clock problem can be seen as a special problem of two people catching up or meeting on a circular track, but the two "people" here are the minute and hour hands of the clock.

The clock problem is different from other travel problems because its speed and total distance are no longer measured in the usual meters per second or kilometer per hour, but with two hands, "how many angles per minute" or "how many squares per minute". For a normal clock, the specifics are: the entire clock face is 360 degrees, and there are 12 large cells on it, each of which is 30 degrees; 60 squares, each of which is 6 degrees.

Minute hand speed: 1 block per minute, 6 degrees per minute.

Hour hand speed: 1/12th of a square per minute, 1/20 per minute.

Note: However, in many clock problems, we often encounter various "strange clocks", or "broken clocks", whose hour and minute hands will travel different degrees per minute than regular clocks, which requires us to learn to analyze different problems independently.

The clock problem should be regarded as a travel problem, the minute hand is fast, and the hour hand is slow, so the problem of the minute hand and the hour hand is the problem of catching up with each other. In addition, in solving the problem of the speed of the clock, it is necessary to learn the cross method.

Between 3 and 4 o'clock on the clock face, when the minute hand and hour hand are at an angle of 90 degrees. 3 o'clock intact.

32 and 8 11 minutes uproar.

The upper part of the clock is between 3 and 4 o'clock, and the minute hand is at an angle of 90 degrees to the hour hand at 3 o'clock and 3:32 and 8 11 o'clock.

The angle between the hour and minute hand and the 0 o'clock is 34 6 204 degrees, the angle between the hour hand and the 0 o'clock is 90 34 30 60 = 107 degrees, and the angle between the hour hand and the minute hand is 204 107 97 degrees.

The hour hand turns 360° in 12 hours, so the hour hand turns 30° every hour, that is, 60 minutes turns 30°, so every minute turns; If the minute hand turns 360° in 1 hour, that is, 360° in 60 minutes, then every minute turns 6° can be calculated in turn: the absolute value of the difference between the angle of the hour hand and the angle of the minute hand; When this value is greater than 180 degrees, subtract the difference from 360 degrees.

In the equation, "180" means that the minute hand has been turned 180 degrees in 30 minutes, and the calculation process is 30*6=180;In the equation, "60" is the rotation of the hour hand for 2 hours; In the equation 180 1 12 is the angle at which the hand turns for 30 minutes, i.e. 15 degrees. In short, 180-60-180 1 12=105 degrees, in the question at 2:30, the angle angle of the hour hand and the minute hand is 105 degrees.

The minute hand is rotated 6° per minute (one small stop on the clock face); The hour hand turns 30° every hour, and the hour hand turns 0 5° every minute Thus, for m point n minutes: the degree of the hour hand is m 30° + n 0 5°, and the degree of the minute hand is n 6°;

So the angle between the hour and minute hands =|m×30°+n×0．5°-n×6°|, i.e. =|m×30°-n×5．5°|．

If the angle obtained by the above equation is greater than 180°, then the angle between the hour hand and the minute hand should be 360° minus the angle obtained by the above formula, i.e. 360°-

One lap is 360 degrees, the minute hand travels 6 degrees every minute, and the hour hand jujube land walks 30 degrees every hour. Let 5 o'clock x divide the stool pie, and the angle between the hour hand and 0 o'clock is (3 * 50 + x * 30 60) = (150+ degrees The angle between the minute hand and 0 o'clock is 6 x degrees. According to the body:

150+ solution x= or 6x- (150+ solution x=2....

At 3:30 on the clock face, the hour hand and the minute hand are at an acute angle, at 3:30 the hour hand is in the middle of 3 and 4, and the minute hand is in the middle of 3 and 4, and half of 3 and 4 is 30 2 = 15 °, and the degree from 4 to 6 is: 30 2 = 60 °, so the degree of 3:30 is 60 + 15 = 75 °, which is an acute angle.

An ordinary clock is equivalent to a circle, and a circle of the hour or minute hand is equivalent to a 360° angle; The angle of each large cell on the clock is 30°, and the angle of each small cell is 6°; The angle of the hour hand for every 1 minute should be; The minute hand should be at an angle of 6° for every 1 minute.

Summary. Based on your question, mine is:

6:30 7:30 is just the turn of the week. Because one hour is equal to 60 minutes. It's equivalent to a week in minutes. One week is equivalent to 360 degrees.

On the clock face from 6:30 to 7:30, what is the angle at which the minute hand turns?

According to your question, mine is: 6:30 7:30 is just about to turn around for a week. Because one hour is equal to 60 minutes. It's equivalent to a week in minutes. One week is equivalent to 360 degrees.

The minute hand is turned 360 degrees.

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