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31 December, 21:50

Find the measures of the angle formed by the hands of a clock at 6:45

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Answers (2)
  1. 31 December, 22:04
    0
    67.5 degrees

    Step-by-step explanation:

    The angle between the 6 and the 9 = 90 degrees.

    WE can say that the hour hand is ' 3/4 of 5 minutes' past the 6.

    5 minutes is equivalent to 360 / 12 = 30 degrees.

    Thus the angle between the 6 and the hour hand

    = 30 * 3/4

    = 22.5 degrees.

    The required angle is 90 - 22.5

    = 67.5 degrees.
  2. 31 December, 22:11
    0
    67.5°

    Step-by-step explanation:

    At 6:45, the minute hand is at 9

    The hand is between 6 and 7

    Angle between two digits on the clock: 360/12 = 30

    Between 7 and minute hand:

    2 * 30 = 60

    Between hour hand and 7:

    (60-45) / 60 * 30 = 7.5

    Total:

    60 + 7.5 = 67.5°
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