What is the angle between the time hands at 2.20 am?
a.100
b.50
c.10
d.70?
Answers
Answered by
45
Heya!!
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This is the fig.
Clock have 6 division from 12-6.
The minute hand moves 30 degrees (1 division) in 5 min. Therefore, it’s speed is (30/5) = 6 deg/min.
The hour hand covers 30 degrees (1 division) in 60 min. It’s speed is (30/60) = 0.5 deg/min.
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If time is 2:00.
Hour hand's is 60° ahead of minute's hand.
Movement of minute's hand in next 20 mins,
=) 6 deg/min * 20 min = 120 degrees.
Movement of hour's hand in next 20 mins,
=) 0.5 deg/min * 20 min = 10 degrees
Hence net movement of hour's hand = 60°+10°
= 70°.
Hence angle between 12:00-2:20 (hour's hand) is 70° and angle between 12:00 - 2:20 (minute's hand is 120°).
----------------------------
Hence the angle btw time hands at 2:20 is (120°-70°) = 50°.
---------------------------
Hope it helps u :)
-------------------------------
This is the fig.
Clock have 6 division from 12-6.
The minute hand moves 30 degrees (1 division) in 5 min. Therefore, it’s speed is (30/5) = 6 deg/min.
The hour hand covers 30 degrees (1 division) in 60 min. It’s speed is (30/60) = 0.5 deg/min.
----------------------------
If time is 2:00.
Hour hand's is 60° ahead of minute's hand.
Movement of minute's hand in next 20 mins,
=) 6 deg/min * 20 min = 120 degrees.
Movement of hour's hand in next 20 mins,
=) 0.5 deg/min * 20 min = 10 degrees
Hence net movement of hour's hand = 60°+10°
= 70°.
Hence angle between 12:00-2:20 (hour's hand) is 70° and angle between 12:00 - 2:20 (minute's hand is 120°).
----------------------------
Hence the angle btw time hands at 2:20 is (120°-70°) = 50°.
---------------------------
Hope it helps u :)
Attachments:
Anonymous:
awesome bhai
Answered by
7
Step-by-step explanation:
The correct answer is option b.50
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