<p>I always have trouble with the math problems that ask for the degree angle between the minute and hour hand. I finally decided to look it up and found out how to do it, and then just randomly picked out a time to try to see if i could figure it out.</p>
<p>I picked 1:50 and got 115 degrees and I just wanted to see if anyone could verify that so that I know I've got this down.</p>
<p>Thanks.</p>
<p>1 hour is one twelfth to the right, so one twelfth of 360, soooooo, 30.</p>
<p>50 minutes is 10 minutes short of 60, and so one sixth to the left. One sixth of 360 is 60.</p>
<p>30 + 60 = 90</p>
<p>Sorry, you lose. :D</p>
<p>Another, quicker way to think of it, is this: If it were 12:45, you'd know instantly that it was 90 degrees. To get 1:50 from 12:45, both hands are moved one position on the clock in the same direction, therefore the angle is congruous.</p>
<p>wait, at 1:50, the hour hand is NOT directly on "1". it's closer to 2.</p>
<p>115 is what i got.</p>
<p>^^ Can someone explain how to do this?</p>
<p>You are correct:</p>
<p>Minute hand from straight-up 12: 1/6 x 360 = 60 (10 minutes away)</p>
<p>Hour hand from straight-up 12:
..............angle from 12 to 1= 1/12 * 360 = 30
...........+ additional angle 50 minutes after 1 = 5/6 * 30 = 25
TOTAL Hour hand angle from straight-up 12 = 30 + 25 = 55</p>
<p>Sum of angles = 60 + 55 = 115 degrees</p>
<p>if i'm right:</p>
<p>1/12 of 360 is 30 degrees.</p>
<p>so 3 parts is 90 degrees. </p>
<p>however, somethin is left over because the time is 1:50, NOT 1:00.
since 30 degrees means 60 minutes, u set up a proportion:
30/60=x/50
x=25</p>
<p>25+90= 115</p>
<p>I drew up a diagram and saw that in between each hour the minute hand moves 30 degrees (360/12). But the hour hand has moved 5/6th of the way past 1. So 5/6th X 30 = 25. So then I draw some lines on my diagram and there is 25 degrees between the hour hand and 1, 30 between 1 and 12, 30 between 12 and 11, and finally 30 between 11 and 10 (where the minute hand is. </p>
<p>So then, 25+30+30+30=115</p>
<p>It might take a little more time, but it's a lot easier for me to draw the diagram and be able to see it clearly.</p>