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

User ISD
by
8.3k points

2 Answers

3 votes

Answer:

The angle is 204 degree.

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

User Adolfojp
by
8.6k points
5 votes

Answer:

The smaller angle will be "156°".

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* 6^(\circ) \ each

=
156^(\circ)

User Saadsaf
by
8.3k points

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