What is the angle between the hour-hand and minute-hand of a clock at 3:15?

[kevinUsa]

To find the angle between the hour-hand and minute-hand of a clock at 3:15, we can use the following formula:

Angle = |(30*H - (11/2)*M)|

Where:

H is the hour

M is the minutes

At 3:15, H = 3 M = 15

Plugging these values into the formula:

Angle = |(30*3 - (11/2)*15)| = |(90 - 82.5)| = |7.5|

So, the angle between the hour-hand and minute-hand of a clock at 3:15 is 7.5 degrees.

[kevinUsa]

Explanation:

• Hour Hand Angle:

  • For each hour, the hour hand moves 360/12 = 30 degrees.
  • At 3:15, it's a quarter past 3, so it has moved 1/4 of the distance between the 3 and the 4.
  • Therefore, the angle moved by the hour hand is (1/4) * 30 degrees = 7.5 degrees.

• Minute Hand Angle:

  • For each minute, the minute hand covers 360/60 = 6 degrees.
  • At 3:15, the minute hand is at the 3 on the clock face, meaning it has moved 15 * 6 = 90 degrees from the 12.

• Difference:

  • To find the angle between the two hands, we subtract the smaller angle (hour hand) from the larger angle (minute hand): 90 degrees - 7.5 degrees = 82.5 degrees.

Therefore, the angle between the hour and minute hands of a clock at 3:15 is 82.5 degrees.

[kevinUsa]

chat gpt vs bard...

 the answer is 7.5 

i belive  that google ai is not trained well 

[AndhraPickles]

69

[Vaaaampire]

1 hour ago, kevinUsa said:

To find the angle between the hour-hand and minute-hand of a clock at 3:15, we can use the following formula:

Angle = |(30*H - (11/2)*M)|

Where:

H is the hour

M is the minutes

At 3:15, H = 3 M = 15

Plugging these values into the formula:

Angle = |(30*3 - (11/2)*15)| = |(90 - 82.5)| = |7.5|

So, the angle between the hour-hand and minute-hand of a clock at 3:15 is 7.5 degrees.

Its actually 97.5(hour angle) - 90 = 7.5.

answer is correct but number 82.5 is wrong

[Anta Assamey]