Question

The angle between the minute and hour hands of a clock at 8:30 is

Answer 1

it would be acute angle.............

Answer 2

Answer:

75°

Step-by-step explanation:

We know,

At 8-00,

The angle between hour hand and minute hand is 120°.

In 30 minutes,

the minute hand will rotate by 180°.

The hour hand rotates 30° in 1 hour. Thus, it will rotate 15° in 30 minutes.

Now, imagine that only the minute hand rotates and the hour hand is held fixed at 8.

After 30 minutes, when the minute hand reaches 6 it will make an angle of 60° with the hour hand.

But, here we had considered that the hour hand is fixed. In reality, it is not so. We have seen that the hour hand has moved 15° in these 30 minutes.

Thus, the angle will be 60°+15° = 75°