Find the angle between the hour hand and the minute hand of a clock when the time is 3:25 ?47.5°49.5°57.5°87.5°

To find the angle between the hour hand and the minute hand of a clock, we can use the following steps:

1. First, calculate the angle made by the hour hand with respect to 12:00 in 60 minutes. The hour hand moves 360° in 12 hours (or 720 minutes). So, in one minute, the hour hand moves 360/720 = 0.5°. At 3:25, the hour hand has moved 25 minutes. So, the angle of the hour hand at 3:25 is 330 (for 3 hours) + 0.525 (for 25 minutes) = 90 + 12.5 = 102.5°.

2. Next, calculate the angle made by the minute hand with respect to 12:00 in 60 minutes. The minute hand moves 360° in 60 minutes. So, in one minute, the minute hand moves 360/60 = 6°. At 3:25, the minute hand has moved 25 minutes. So, the angle of the minute hand at 3:25 is 6*25 = 150°.

3. Finally, subtract the smaller angle from the larger angle to find the angle between the two hands: 150° - 102.5° = 47.5°.

So, the angle between the hour hand and the minute hand at 3:25 is 47.5°.

To find the angle between the hour hand and the minute hand of a clock, we can use the following steps:

1. Calculate the angle covered by the hour hand. The hour hand covers 360 degrees in 12 hours, so it covers 30 degrees in 1 hour. At 3:25, the hour hand has covered 3 hours and 25 minutes, which is 3.42 hours approximately. So, the angle covered by the hour hand = 30 * 3.42 = 102.5 degrees.

2. Calculate the angle covered by the minute hand. The minute hand covers 360 degrees in 60 minutes, so it covers 6 degrees in 1 minute. At 3:25, the minute hand has covered 25 minutes. So, the angle covered by the minute hand = 6 * 25 = 150 degrees.

3. The angle between the hour hand and the minute hand is the absolute difference between the angles covered by the two hands. So, the angle = |150 - 102.5| = 47.5 degrees.

So, the angle between the hour hand and the minute hand when the time is 3:25 is 47.5 degrees.

To find the angle between the hour hand and the minute hand of a clock when the time is 3:25, follow these steps:

1. Calculate the position of the hour hand: At 3 o'clock, the hour hand is at 90 degrees (each hour is 30 degrees, so 3 hours is 330 = 90 degrees). By 3:25, the hour hand has moved further along. Since the hour hand moves 0.5 degrees per minute, it has moved an additional 0.525 = 12.5 degrees. So the total position of the hour hand is 90 + 12.5 = 102.5 degrees.

2. Calculate the position of the minute hand: The minute hand moves 6 degrees per minute (360 degrees divided by 60 minutes), so at 25 minutes past the hour, it is at 6*25 = 150 degrees.

3. Subtract the smaller angle from the larger to find the angle between the two hands: 150 - 102.5 = 47.5 degrees.

So, the angle between the hour hand and the minute hand at 3:25 is 47.5 degrees.

To find the angle between the hour hand and the minute hand of a clock, we can use the following steps:

1. Calculate the position of the hour hand: The hour hand moves 360 degrees in 12 hours. So, it moves 30 degrees in one hour. At 3:25, the hour hand will be in between 3 and 4. So, it will be 3 hours + 25/60 of an hour = 3.4167 hours from 12. Therefore, the position of the hour hand = 3.4167 * 30 = 102.5 degrees from 12.

2. Calculate the position of the minute hand: The minute hand moves 360 degrees in 60 minutes. So, it moves 6 degrees in one minute. At 25 minutes, the position of the minute hand = 25 * 6 = 150 degrees from 12.

3. Subtract the smaller angle from the larger angle to find the angle between the hour hand and the minute hand: 150 - 102.5 = 47.5 degrees.

So, the angle between the hour hand and the minute hand when the time is 3:25 is 47.5 degrees.

To find the angle between the hour hand and the minute hand of a clock, we can use the following steps:

1. First, calculate the angle covered by the hour hand. The hour hand covers 360 degrees in 12 hours, so it covers 30 degrees in one hour. At 3:25, the hour hand has covered 3 hours and 25 minutes, which is 3.42 hours approximately. So, the angle covered by the hour hand is 30 * 3.42 = 102.5 degrees.

2. Next, calculate the angle covered by the minute hand. The minute hand covers 360 degrees in 60 minutes, so it covers 6 degrees in one minute. At 3:25, the minute hand has covered 25 minutes. So, the angle covered by the minute hand is 6 * 25 = 150 degrees.

3. Finally, subtract the smaller angle from the larger angle to find the angle between the two hands. So, the angle between the hour hand and the minute hand at 3:25 is 150 - 102.5 = 47.5 degrees.

So, the correct answer is 47.5°.

To find the angle between the hour hand and the minute hand of a clock, we can use the following steps:

1. Calculate the angle covered by the hour hand. The hour hand covers 360 degrees in 12 hours, so it covers 30 degrees in 1 hour. At 3:25, the hour hand has covered 3 hours and 25 minutes. So, it has covered 330 + 25(30/60) = 97.5 degrees.

2. Calculate the angle covered by the minute hand. The minute hand covers 360 degrees in 60 minutes, so it covers 6 degrees in 1 minute. At 3:25, the minute hand has covered 25 minutes, so it has covered 25*6 = 150 degrees.

3. Subtract the smaller angle from the larger angle to find the angle between the two hands. So, 150 - 97.5 = 52.5 degrees.

So, the angle between the hour hand and the minute hand at 3:25 is 52.5 degrees. However, this option is not available in the choices given. There might be a mistake in the question or the options provided.

To find the angle between the hour hand and the minute hand of a clock, we can use the following steps:

1. First, calculate the angle covered by the hour hand. The hour hand covers 360 degrees in 12 hours, so it covers 30 degrees in one hour. At 3:25, the hour hand has covered 3 hours and 25 minutes, which is 3.42 hours approximately. So, the angle covered by the hour hand is 30 * 3.42 = 102.5 degrees.

2. Next, calculate the angle covered by the minute hand. The minute hand covers 360 degrees in 60 minutes, so it covers 6 degrees in one minute. At 3:25, the minute hand has covered 25 minutes. So, the angle covered by the minute hand is 6 * 25 = 150 degrees.

3. Finally, subtract the smaller angle from the larger angle to find the angle between the two hands. So, the angle between the hour hand and the minute hand at 3:25 is 150 - 102.5 = 47.5 degrees.

So, the correct answer is 47.5°.