On the hour, what is the acute and obtuse angle formed by the hour and minute hands?

Updated on educate 2024-08-12
9 answers
  1. Anonymous users2024-02-16

    On the hour, the hour and minute hands form an acute angle of 1, 2, 10 and 11 o'clock.

    The hour and minute hands form obtuse angles at 4 o'clock, 5 o'clock, 7 o'clock, and 8 o'clock.

    The hour time is characterized by the fact that the minute hand always points to the 12 position.

    An acute angle should be formed at the hour, that is, the angle between the clamps is greater than 0° and less than 90°;

    An obtuse angle should be formed at the hour of the hour, that is, the angle clamped is greater than 90° and less than 180°, and the angle of the hour hand and the minute hand at the hour hour is in order:

    1 point: 30°; 2 o'clock: 60°; 3 o'clock: 90°; 4 o'clock: 120°; 5 o'clock: 150°; 6 o'clock: 180°;

    7 o'clock: 150°; 8 o'clock: 120°; 9 o'clock: 90°; 10 o'clock: 60°; 11 o'clock: 30°; 12 o'clock: 0°

    Based on the above known data and conditions, it can be known that:

    On the hour, the hour and minute hands form an acute angle of 1, 2, 10 and 11 o'clock.

    The hour and minute hands form obtuse angles at 4 o'clock, 5 o'clock, 7 o'clock, and 8 o'clock.

  2. Anonymous users2024-02-15

    125 °, every minute after a minute of sensitivity, the angle of the needle is: 360 (12 * 60) =, six ten is filial piety is really deviated from six points 10 *, a total of 120 + 5 = 125 °, hehe.

  3. Anonymous users2024-02-14

    According to the rough rock analysis of the question stem, it can be obtained: 30° 3=90°, so at 9 o'clock, the angle of the trouser composed of the hour hand and the minute hand on the clock face is an angle of 90°, which is a right angle

    Therefore, in front of the stool B.

  4. Anonymous users2024-02-13

    At 3 o'clock, the hour and minute hands form (90) degrees or (270) degrees, and at 3:20 a.m., the acute angle of the hour and minute hands is (20) degrees.

    20 degrees.

  5. Anonymous users2024-02-12

    At 7 o'clock, 360-30 7 = 360-210 = 150 degrees.

    The empty spike to: 7 o'clock, when the small angle between the needle and the minute hand is (150).

  6. Anonymous users2024-02-11

    At 5 o'clock, the angle of the hour hand and the minute hand on the clock face is: 30° 5=150°, which is an obtuse angle;

    So the answer is:

  7. Anonymous users2024-02-10

    Answer: Mu Chi Chong case]: b

    From 3:00 to 3:19, the minute hand travels 6. ×l9=114。, the hour hand goes 0 5.

    19=9.5。At 3 o'clock, the angle between the hour hand and the minute hand is 90. , so the angle at 3:19 is 114.

    90。-9.5。=14.5。。Swift annihilation.

  8. Anonymous users2024-02-09

    On a 12-hour clock, the angle formed between the hour and minute hands can be divided into four different cases: obtuse angle, straight overhead angle, acute angle, and flat angle. These angles depend on the specific time of the clock.

    1.Obtuse angle (180° Angle < 360°): Between approximately 7 and 11 o'clock, the angle between the hour and minute hands is greater than 180 degrees, creating an obtuse angle.

    For example, between 8 and 9 o'clock, the angle between the hour and minute hands is about 225 degrees.

    2.Right angle (angle = 90°): Between about 3 o'clock and 9 o'clock, the angle between the hour and minute hands will be 90 degrees, forming a right angle. For example, at 3 o'clock and 9 o'clock on the hour, the angle between the hour and minute hands is 90 degrees.

    3.Acute angle (0° "Angle < 90°): Between about 1 o'clock and 5 o'clock, the angle between the hour and minute hands will be less than 90 degrees, creating an acute angle. For example, between 2 and 3 o'clock, the angle between the hour and minute hands is about 60 degrees.

    4.Flat angle (angle = 180°): At 12 o'clock on the hour, the angle between the hour and minute hands will be 180 degrees, forming a flat angle.

    These angles are approximate estimates, and the actual angles depend on the precise time of the clock. The scale of the clock may also affect the accuracy of the angle.

  9. Anonymous users2024-02-08

    At 1:20, the hour hand has passed a third of an hour, that is, a third of the time between 1 o'clock and 2 o'clock, and the angle between each adjacent two hours is 30 degrees, so the angle of the hour hand relative to 12 o'clock is 30 + 10 = 40 degrees.

    If the minute hand has traveled 20 minutes, the angle between it and 12 o'clock is 120 degrees.

    120-40 = 80 degrees.

    A: The angle between the hour and minute hands is 80 degrees.

Related questions
16 answers2024-08-12

The speed of the hour hand is one-twelfth the speed of the minute hand, because the hour hand travels five divisions in an hour, and the minute hand moves sixty. >>>More

14 answers2024-08-12

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.

15 answers2024-08-12

Similarities between the hour hand and the minute hand:

1) The clock and minute hand are an important part of clockwise rotation; >>>More

13 answers2024-08-12

On the clock face, the trajectory of the minute and hour tips is circled, and the two circles (circles) are the same. >>>More

8 answers2024-08-12

Hello. According to the construction of the clock, we know that a circle is divided into 12 large grids, each of which represents 1 hour; At the same time, each cell is divided into 5 cells, that is, a circle is divided into 60 cells, and each cell represents 1 minute. In this way, it corresponds to the angle problem, that is, a large grid corresponds to 36 0° 12 = 30 °; A small cell corresponds to 360° 60 = 6°. >>>More