Time question!?

Question

When the time is 2:18, how many degrees are there in the acute angle between the minute hand and the hour hand on a clock?

Answer 1

The minute hand is easy.

It's 18 min/60 min of the way around the circle, so it's at

18/60(360°) = 108°, relative to 12 o'clock.

The hour hand is a little tougher.

You might think that it's at

2 hours/12 hours(360°) = 60°

And that's close.

But it's actually a little farther than that. In addition to the 60° for the hand being at 2 o'clock, it also 18/60 of the way to 3'clock. Since the hour hand travels 1/12(360°) = 30° per hour, it's actually at

60° + 18/60(30°) = 60° + 9° = 69°

So the angle between them is

108° - 69° = 39°

Answer 2

[15]
At 2-00,the degree between the two hands is 10*6 or 60 degrees.
In 18 minutes,the minutes hand moves 18*6 or 108 degrees and the hour hand moves
108/12=9 degrees
Therefore,the angle at 2-18
=108-60-9
=39 degrees

Answer 3

Each minute is 6 degrees.
Assume the hour hand is on the 2 and the minute hand is on the 18, that makes them 8 minutes apart.
8 times 6 is 48 degrees.

Answer 4

18 times 6 is 128 degrees, 60 is 1/6 of 360. Ohh wait. 128-60 (because there are 12 hours, like 5 minutes for each hour mark on the clock(because 12 times 5 =60 minutes?)) which equals 68. Am I right?
Ohh, 18/360 is... something and like the dude after me said.. gosh, forgot the hour hand moved too. nowonder why this problem is so hard.

Answer 5

27
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