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.
[tex]\frac{360^{\circ}}{60 minutes} = 6^{\circ} per minutes[/tex]
so, each minute is 6 degree.
The minutes hand on the clock will point at 15 minute,
then, its position on the clock is:
[tex](15) \cdot 6^{\circ} = 90^{\circ}[/tex]
Also, there are 12 hours on the clock
⇒Each hour is 30 degree.
Now, can calculate where the hour hand at 5:00 clock.
⇒[tex]5 \cdot 30 =150^{\circ}[/tex]
Since, the hours hand is between 5 and 6 and we are looking for 5:15 then :
15 minutes is equal to [tex]\frac{1}{4}[/tex] of an hour
⇒[tex]150+\frac{1}{4}(30) = 150+7.5 = 157.5^{\circ}[/tex]
Then the angle between two hands of clock:
⇒[tex]\theta = 150.75 -90 = 67.5^{\circ}[/tex]
Therefore, the angle between the hands of a clock at 5: 15 is: 67.5 degree.
Answer:
The answer is B 67.5
Step-by-step explanation:
I just did this problem and got it correct
