(24 points)
2 answers:
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Answer:
Option B is correct.
67.5 degree
Step-by-step explanation:
To find the angle between the hands of a clock.
Given that:
Hands of a clock at 5 : 15.
We know that:
A clock is a circle and it always contains 360 degree.
Since, there are 60 minutes on a clock.
so, each minute is 6 degree.
The minutes hand on the clock will point at 15 minute,
then, its position on the clock is:
Also, there are 12 hours on the clock
⇒Each hour is 30 degree.
Now, can calculate where the hour hand at 5:00 clock.
⇒
Since, the hours hand is between 5 and 6 and we are looking for 5:15 then :
15 minutes is equal to of an hour
⇒
Then the angle between two hands of clock:
⇒
Therefore, the angle between the hands of a clock at 5: 15 is: 67.5 degree.
