what is the angle made by the hour hand and minute hand of a clock at 2:25pm?
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Answer:
77.5º
Step-by-step explanation:
There are 12 divisions in a clock
12 divisions = 360º
1 division = 360 ÷ 12 = 30º
⇒ 5 mins = 30º
Find the angle made by the minute hand (with reference to 12 O'clock)
5 min = 30º
25 mins - 30 x 5 = 150º
Find the angle made by the hour hand (with reference to 12 O'Clock)
Angle made by the hour hand = (2 x 30) + (25/60 x 30)
Angle made by the hour hand = 60 + 12.5
Angle made by the hour hand = 72.5º
Find the angle made by the hour hand and the minute hand at 2.25 pm:
Angle = 150 - 72.5 = 77.5º
Answer: 77.5º
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