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# what's angle do the hands of a clock make at 1:20?

0

75 degrees

Interview Candidate on May 7, 2010
6

80 degrees

i.c. on Nov 24, 2010
2

80 is correct.

you are 1/3 of the way through the 1 and 2. Each area represents 30 degrees. So you are 10 degrees past the 1. That's 20 left, plus the 30 in each of the areas between 2 and 3 and 3 and 4. = 80

Chase Schwalbach on Jan 20, 2011
1

it would be 90 degrees - there's 30 degrees between each hour, 30(3) = 90

a on Apr 9, 2012
1

The hands of a clock travel in a circular pattern so they cover 360 degrees on full rotation.

Between each hour segment (i.e. 12 and 1) there are 30 degrees (360/12 = 30).

At 1:20, the minute hand has traveled 120 degrees (30*4 = 120) which is 4/12 or 1/3 of the full rotation.

This tells us that the hour hand has also traveled 1/3 of the way between 1 and 2.

Since we know there are 30 degrees between 1 and 2, we can calculate that the hour hand has traveled 10 degrees from 1 to 2.

This means the hour hand has traveled a total of 40 degrees past 12.

Now we subtract the 40 degrees that the hour hand has traveled from the 120 degrees that the minute hand has traveled and we get 80 degrees.

The angle between the hour hand and minute hand is 80 degrees.

youngblood on Jun 21, 2012