Question

Find the angle between the hands of a clock at 5:15 A 60 B 67.5 C 75

Answer 1

Answer:

The answer is B 67.5

Step-by-step explanation:

I just did this problem and got it correct

Answer 2

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.

$\frac{360^{\circ}}{60 minutes} = 6^{\circ} per minutes$

so,  each minute is 6 degree.

The minutes hand on the clock will point at 15 minute,

then, its position on the clock is:

$(15) \cdot 6^{\circ} = 90^{\circ}$

Also, there are 12 hours on the clock

⇒Each hour is 30 degree.

Now, can calculate where the hour hand at 5:00 clock.

⇒$5 \cdot 30 =150^{\circ}$

Since, the hours hand is between 5 and 6 and we are looking for 5:15 then :

15 minutes is equal to $\frac{1}{4}$ of an hour

⇒$150+\frac{1}{4}(30) = 150+7.5 = 157.5^{\circ}$

Then the angle between two hands of clock:

⇒$\theta = 150.75 -90 = 67.5^{\circ}$

Therefore, the angle between the hands of a clock at 5: 15 is: 67.5 degree.