What is angle mae when hour han an minute han is at 8:30
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It's 50 ° think so
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Answered by
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Answer: 75 degree
Step-by-step explanation:
At 8 ' o' clock
The angle between 'Hour hand and Minute hand' is 240 degree
[each dial = 30 degree, at '8' its 30*8 = 240]
Now in 1 minute hour hand moves : 1/2 degree
minute hand moves : 6 degree
So in 30 minutes:
Hour hand moves : 30/2 = 15 minutes
Minute hand moves: 6*30 = 180 degree
Minute hand % 180 degree position. Hour hand at 240+15=255 degree position.
Angle between them = 255-180 = 75 degree
ALTERNATE:
Angle = 11/2 * M - 30*H [M- corresponding minute, H-corresponding hr]
= 11/2 * 30 - 30* 8
= 11*15 - 240 = 165 - 240 = 75 degree (- sign is neglected)
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