Question

At 2:48, what is the degree measure of the smaller angle formed by the hour and minute hands of a 12 hour clock?

Answer 1

Answer:

The smaller angle will be "156°".

Step-by-step explanation:

According to the question,

Before 12, the minute hand at 48 minutes:

= $60-48$

= $12$ (minutes to 12)

So,

= $12 \ minutes+14 \ minutes$

= $26 \ minutes$

hence,

The smaller angle will be:

= $26\times 6^{\circ} \ each$

= $156^{\circ}$

Answer 2

Answer:

The angle is 204 degree.

Step-by-step explanation:

The angle turned by minute hand in 1 minute is 6 degree

The angle turned by the hour hand in 1 hour is

For the hour hand :

The angle turned in 1 hour = 360/12 = 30degree

At 2 : 00 , the angle covered = 30 x 2 = 60 degree

In each minute the hour hand moves  = 30 degrees / hour  x  1 hour/60 min  

                              = 1/2 degree  

So at 2: 48   the hour hand is at    2*30  + 48 * 1/2 = 84 degrees

For the minute hand:

In each minute it turns = 6 degrees  

So, at 48 minutes the minute hand is at   48 x 6 = 288 degrees

So, the angle between them is 288 - 84 = 204 degrees