Question

3) if the time is 10 minutes past 3, what
is the angle measure between the hour
hand and the minute hand
of the clock?​

Answer 1

Answer:

Angle measure between each number = 360°/12 = 30°

10 minutes past 3 is 3.10, the hour hand is at 3 and minute hand is on 2 thus the angle measure is 30° :)

Answer 2

Clock and angle

Time is 10 minutes past 3 .

The means the time is $3:10$.

At this time the minute hand will be on 2.

The hour hand covers 30 degree in the same time the minute hand covers 360 degree.

At $3:10$, the minute hand is at 2 and it forms an angle $= 2*30 = 60 \deg\ from \ 12.$

At $3:10$, the hour hand is between 3 and 4 and it forms an angle = $3\times30+10\times\frac{30}{60}=95$ $deg \ from\ 12.$

At 3:10, the minute and the hour hands form an angle$= 95-60 = 35$ deg between them.

Hence the required angle is 35°.