Well.. It is a very easy question.. The total degrees in a circle are 360. And total number of hours are 12. So we can get the angle going through 1 hour to be 360/12 = 30 degrees.
The hour angle system is a method used to measure the position of a celestial object in the sky. It measures the angular distance of an object from the observer's meridian, usually in hours (equivalent to 15 degrees per hour). By knowing the hour angle, one can determine the right ascension and declination of the object.
theres 12 numbers evenly spaced on a clock , so you divide 360 by 12 and you get the angle in between each number
The Earth rotates at the rate of roughly 15 degrees of longitude per hour.
The Earth rotates at the rate of roughly 15 degrees of longitude per hour.
I'm unable to view images. However, an acute angle is any angle that measures between 0 and 90 degrees. It looks like a less than 90-degree angle, such as the angle formed by the hour and minute hand at 3:00 on an analog clock.
On an analog clock it would be 30 degrees. Each hour is going to be 30 degrees. So at 2 it would be 60 degrees.
At 9:30, the hour hand is halfway between the 9 and the 10, which means it is at 285 degrees (each hour represents 30 degrees, so 9 hours is 270 degrees, plus 15 degrees for the half hour). The minute hand is on the 6, representing 180 degrees. The angle between the two hands is 285 degrees - 180 degrees = 105 degrees. Thus, the angle between the minute and hour hand at 9:30 is 105 degrees.
To find the smaller angle between the hour hand at 4 and the hour hand at 8 on a clock, we first calculate the angle for each hour mark. Each hour mark represents 30 degrees (360 degrees/12 hours). The angle between 4 and 8 is 4 hours apart, which is 4 × 30 = 120 degrees. Therefore, the smaller angle between 4 and 8 on a clock is 120 degrees.
At exactly 1 o'clock, the hour hand will be at an angle of 30 degrees, and the minute and second hands will be at an angle of 0 degrees.
60 degrees
At 4:30, the minute hand is on the 6, which is 180 degrees from the 12. The hour hand, positioned halfway between the 4 and 5, is at 135 degrees (each hour represents 30 degrees, so 4 hours is 120 degrees plus an additional 15 degrees for the 30 minutes). The angle between the two hands is 180 degrees - 135 degrees = 45 degrees. Therefore, the angle between the hour and minute hand at 4:30 is 45 degrees.
Think of the old fashioned analog clock at 1 o'clock. Now think of the angle between the hour hand and the minute hand. Not the little angle but the one that goes all the way from 1 through 6 to 12. That angle is 330 degrees.
At 10 o'clock, the hour hand is pointing at the 10, and the minute hand is pointing at the 12. Each hour represents 30 degrees on the clock (360 degrees divided by 12 hours). Therefore, the angle between the hour hand at 10 and the minute hand at 12 is 10 hours × 30 degrees = 300 degrees. However, the smaller angle between the two hands is 360 degrees - 300 degrees = 60 degrees.
It is 22.5 degrees.
Each hour, it rotates through 30 degrees, every twelve hours, it rotates 360 degrees.
At 11:20 the hour hand is pointing to 1/3 of an hour after 11, which is 20 degrees before 12. The minute hand is pointing at 120 degrees after 12. So the angle between the two is 120+20 = 140 degrees.
The minute hand, which is pointing at 3 is at right angles to 12. But the hour hand is no longer pointing at 12. The hour hand does not stay at 12 from 12:00 to 12:59 and then jump through 30 degrees at 1 o'clock. By 12:15, the hour hand has moved 7.5 degrees (clockwise) so at 12.15 the angle is 90-7.5 = 82.5 degrees.