which of the at eight o'clock, which of is the angle between the hour and the minute hands

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04-04-2021
Mathematics

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which of the at eight o'clock, which of is the angle between the hour and the minute hands

Sagot :

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zrh2sfo zrh2sfo · Answer 1 · 2021-04-04T13:07:45-04:00

Answer:

At 8 o'clock angle between the two hands is 120 degree.

Step-by-step explanation:

For even hours, it’s easy. There are 12 numbers on the 360 degree clock face so each number is 30 degrees. Now, if you are after 6 then “the angle” is the other way so for 8:00, 12–8 = 4*30 = 120 degrees.

The problem comes in when you are not at an even hour. At, say, 8:20, the minute hand has moved 120 degrees and the hour hand has moved 1/3 of 30 or 10 degrees so, the angle is now 8*30 - 4*30 + 10 = 240 - 120 +10 = 130 degrees.

At 8:40 the minute hand has moved 8*30 = 240 degrees and the hour hand has moved 2/3 of 30 or 20 degrees so the angle is now 8*30 - 8*30 + 20 = 20 degrees

Sagot :

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